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Finding the Fourth Proportional to 932.12, 1,397.56 and 521.30

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Solution

The fourth proportional to 932.12, 1,397.56 and 521.30 is: 781.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.12 : 1,397.56 = 521.30 : x
  2. Step 2: Convert to fraction form
    932.12/1,397.56 = 521.30/x
  3. Step 3: Cross multiply
    932.12x = 1,397.56 × 521.30
  4. Step 4: Simplify right side
    932.12x = 728,548.03
  5. Step 5: Solve for x
    x = 728,548.03/932.12
  6. Step 6: Final answer
    x = 781.60

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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.