Your PSU may or may not be sufficient for a quad-core processor - it only has a 4 pin CPU plug and most new boards have an 8 pin socket. It may or may not run well using only 4 pins. It certainly has enough power for that video card and it's a pretty reliable unit.
That's a good CPU. I'd match it up with an Asus P8Z77-V LK motherboard and a 2x4gb kit of Corsair Vengeance DDR3-1600 low profile ram. This leaves enough in your budget to go ahead and get a new PSU. I'd take advantage of this and get a modular unit for better cable management, and a Seasonic-built unit is the best.
SeaSonic M12II 650 SS-650AM 650W ATX12V / EPS12V SLI Ready 80 PLUS BRONZE Certified Modular Active PFC Semi-modular Power Supply - Newegg.com
ASUS P8Z77-V LK ATX Intel Motherboard with UEFI BIOS - Newegg.com
CORSAIR Vengeance 8GB (2 x 4GB) 240-Pin DDR3 SDRAM DDR3 1600 (PC3 12800) Desktop Memory Model CML8GX3M2A1600C9R - Newegg.com