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Finding the Fourth Proportional to 754.29, 1,040.60 and 517.86

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Solution

The fourth proportional to 754.29, 1,040.60 and 517.86 is: 714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.29 : 1,040.60 = 517.86 : x
  2. Step 2: Convert to fraction form
    754.29/1,040.60 = 517.86/x
  3. Step 3: Cross multiply
    754.29x = 1,040.60 × 517.86
  4. Step 4: Simplify right side
    754.29x = 538,882.53
  5. Step 5: Solve for x
    x = 538,882.53/754.29
  6. Step 6: Final answer
    x = 714.42

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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.