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Finding the Fourth Proportional to 677.40, 932.92 and 521.88

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Solution

The fourth proportional to 677.40, 932.92 and 521.88 is: 718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.40 : 932.92 = 521.88 : x
  2. Step 2: Convert to fraction form
    677.40/932.92 = 521.88/x
  3. Step 3: Cross multiply
    677.40x = 932.92 × 521.88
  4. Step 4: Simplify right side
    677.40x = 486,872.29
  5. Step 5: Solve for x
    x = 486,872.29/677.40
  6. Step 6: Final answer
    x = 718.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.