AuctionedHen8,
1> EDIT > Sorry, after reading the other posts, I also ran off the rails and answered a different question. I just realized that your question was simply whether the 4600 would run the Prescott 511 Pentium 4. The answer is yes - if your grandfather's 4600 has the later motherboard with the 945 chipset. Go back to >
http://ark.intel.com/products/27453/Intel-Pentium-4-Processor-511-1M-Cache-2_80A-GHz-533-MHz-FSB
> and click on "Compatible Products" which shows the chipsets that can be used with the 511 CPU.
I think the fastest CPU on a Socket 478 /
865 chipset system will be the 3.4GHz >
http://www.ebay.com/itm/Intel-Pentium-4-Socket-478-P4-3-4-GHz-SL793-For-865-875-Via-P-800-Sis-65x-66x-/221189525760?pt=CPUs&hash=item337fec5100
2> If you want to use a 64-bit operating system>
[As far as I'm aware, the first CPU that can run a 64-bit operating system is the 6XX Pentium 4 Prescott. This is a very good CPU and the 670 is a 3.8Ghz with hyperthreading. I used (bought new) a Dell Dimension 8400 from 2004 to 2010 with AutoCad, Sketchup, Adobe CS4, Corel Graphics and it ran very well. Most applications even today are single-threaded. If I wasn't doing more serious 3D and running renderings from 3D models, I would be using the 8400 still. It was the most reliable computer I've ever had.
Returning to your question, I checked the Dimension 4600 manual and it specifies that there is a Socket 478 within and checking Intel ARK on the 6XX series, those CPU's require the LGA775 with the 945 chipset and PC3200 memory. I believe the 478 uses the 865G chipset and PC2700 memory. You can have up to a 3.4GHz Prescott 5XX series but it will not run 64-bit Windows. It's a pity as the Pentium 4 660 3.6GHz can be had for $8-10. Earlier 4600's also used the AGP video slot.
If I might suggest for a big performance boost, sell the 4600 and look for a good Dell Optiplex with the E8400 3.0Ghz Core 2 Duo dual core- 64-bit OS, PCIe video card, up to 8GB DDR2 RAM. I see these for as little as $60-100, but often with very little RAM and/or needing an operating system. See>
http://www.ebay.com/itm/Dell-OptiPlex-745-Desktop-3-40-GHz-1-GB-RAM-80-GB-HDD-/310665752649?pt=Desktop_PCs&hash=item48551f3049
-which is a Dell factory refurbished Optiplex 745 3.4GHz dual core and XP Pro 32-bit sold for $68. That might be a Pentium D though- stick to Core2 Duo and look for 64-bit OS.
I usually advocate keeping the old systems going- for a lot of tasks they can work much better than expected, but the 4600 is really one small step before that still really useful period.]
Cheers,
BambiBoom