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Finding the Fourth Proportional to 932.58, 1,397.59 and 431.66

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Solution

The fourth proportional to 932.58, 1,397.59 and 431.66 is: 646.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.58 : 1,397.59 = 431.66 : x
  2. Step 2: Convert to fraction form
    932.58/1,397.59 = 431.66/x
  3. Step 3: Cross multiply
    932.58x = 1,397.59 × 431.66
  4. Step 4: Simplify right side
    932.58x = 603,286.11
  5. Step 5: Solve for x
    x = 603,286.11/932.58
  6. Step 6: Final answer
    x = 646.90

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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.