you guys like throwing around the word "bottleneck" like nothing, uh?
bottleneck is when you upgrade a component, and there is NO change because a second component is completely bottlenecking its performance.
The term originated around the PII era, when the 33Mhz FSB got completely saturated.
I have X video card: if i buy a CPU *better* than the 4670, will i get more frames? And the answer is yes.
I have X CPU. If i get a better video card, will i get the same framerate? The answer is no.
Just call it limiting, because ALL components in a pc are *partially* limited by each other; ram speed + latyency, cpu frequency, cache, hard disk read speed, gpu core clock, they all affect the final performance.
Now back to the OP:
WILL MY 4670 BE REALLY BAD FOR A 270x ???
No, its fine. go play.