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Im not sure it will surpass bitcoin. But it might overtake for everyday use. It depends on what the supply and demand for these things are. A tell tale sign is bitcoin has 21million total cap. And litecoin is 84mil total cap. Which theoretically should lend itself to a 4:1 ratio. But it all depends on what kind of value people place on these things. That saying with th 4:1 ratio if BTC is 3415 USD then litecoin should be at 853 USD by current evaluation. Maybe its undervalued. Who knows. :)

It's not designed to surpass btc in per coin value, as @alhoppo says below 4:1 is expected value, it's supposed to be the silver to btc's gold. That said, I think it's more undervalued than btc.