One agricultural image runs through this small but ancient family: bearing fruit. The verb liprot ("be fruitful and multiply") opens the Bible; the noun pri is simply fruit; and what is poreh is fertile, productive. Push the verb into the causative and you get to fertilize, and from there modern Hebrew names lab fertilization, hafraya. Watch the same seed-idea move from Genesis to a fertility clinic. Every word here is verified against pealim, niqqud included.
The same root runs through the verb system. Each binyan is a voice: it bends the one idea into active, passive, causative or reciprocal. Tap to hear.
The pair is built on cause: pa'al = (something) bears fruit by itself; hif'il = (someone) makes it bear fruit. This is a final-ה (lamed-he) root, so the infinitives end in ־וֹת rather than the usual pattern. No passive partner is lexicalized; the result-side lives in the nouns below.
Same root letters, different noun moulds (mishkalim). The mould tells you the function: who does it, the act of doing it, or the thing produced.
Strip the prefixes, suffixes and vowels. Three consonants remain, and the meaning lives there.