I don't know the ps4 and its connections. But this much as an answer:
The Lenovo 0B47069 is an HDMI to VGA adapter. I use it to connect my notebook, which only has an HDMI output, to a beamer or monitor that only has a VGA input. This works for me because the notebook can output analogue signals via the HDMI connection. If this is not the case, an HDMI to VGA converter is needed. I suspect that ps4 needs a converter. Google hdmi to vga, there are good descriptions of the various solutions.