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Finding the Fourth Proportional to 754.56, 1,132.66 and 634.14

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Solution

The fourth proportional to 754.56, 1,132.66 and 634.14 is: 951.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.56 : 1,132.66 = 634.14 : x
  2. Step 2: Convert to fraction form
    754.56/1,132.66 = 634.14/x
  3. Step 3: Cross multiply
    754.56x = 1,132.66 × 634.14
  4. Step 4: Simplify right side
    754.56x = 718,265.01
  5. Step 5: Solve for x
    x = 718,265.01/754.56
  6. Step 6: Final answer
    x = 951.90

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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.