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Finding the Fourth Proportional to 932.11, 1,398.31 and 315.85

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Solution

The fourth proportional to 932.11, 1,398.31 and 315.85 is: 473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.11 : 1,398.31 = 315.85 : x
  2. Step 2: Convert to fraction form
    932.11/1,398.31 = 315.85/x
  3. Step 3: Cross multiply
    932.11x = 1,398.31 × 315.85
  4. Step 4: Simplify right side
    932.11x = 441,656.33
  5. Step 5: Solve for x
    x = 441,656.33/932.11
  6. Step 6: Final answer
    x = 473.83

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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.