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Finding the Fourth Proportional to 754.38, 1,128.96 and 521.71

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Solution

The fourth proportional to 754.38, 1,128.96 and 521.71 is: 780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.38 : 1,128.96 = 521.71 : x
  2. Step 2: Convert to fraction form
    754.38/1,128.96 = 521.71/x
  3. Step 3: Cross multiply
    754.38x = 1,128.96 × 521.71
  4. Step 4: Simplify right side
    754.38x = 588,986.90
  5. Step 5: Solve for x
    x = 588,986.90/754.38
  6. Step 6: Final answer
    x = 780.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.