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Finding the Fourth Proportional to 932.60, 1,398.90 and 471.80

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Solution

The fourth proportional to 932.60, 1,398.90 and 471.80 is: 707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.60 : 1,398.90 = 471.80 : x
  2. Step 2: Convert to fraction form
    932.60/1,398.90 = 471.80/x
  3. Step 3: Cross multiply
    932.60x = 1,398.90 × 471.80
  4. Step 4: Simplify right side
    932.60x = 660,001.02
  5. Step 5: Solve for x
    x = 660,001.02/932.60
  6. Step 6: Final answer
    x = 707.70

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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.