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Finding the Fourth Proportional to 932.52, 1,398.42 and 316.11

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Solution

The fourth proportional to 932.52, 1,398.42 and 316.11 is: 474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.52 : 1,398.42 = 316.11 : x
  2. Step 2: Convert to fraction form
    932.52/1,398.42 = 316.11/x
  3. Step 3: Cross multiply
    932.52x = 1,398.42 × 316.11
  4. Step 4: Simplify right side
    932.52x = 442,054.55
  5. Step 5: Solve for x
    x = 442,054.55/932.52
  6. Step 6: Final answer
    x = 474.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.