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Finding the Fourth Proportional to 612.12, 843.77 and 415.29

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Solution

The fourth proportional to 612.12, 843.77 and 415.29 is: 572.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.12 : 843.77 = 415.29 : x
  2. Step 2: Convert to fraction form
    612.12/843.77 = 415.29/x
  3. Step 3: Cross multiply
    612.12x = 843.77 × 415.29
  4. Step 4: Simplify right side
    612.12x = 350,407.17
  5. Step 5: Solve for x
    x = 350,407.17/612.12
  6. Step 6: Final answer
    x = 572.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.