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Finding the Fourth Proportional to 721.53, 1,081.31 and 525.38

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Solution

The fourth proportional to 721.53, 1,081.31 and 525.38 is: 787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.53 : 1,081.31 = 525.38 : x
  2. Step 2: Convert to fraction form
    721.53/1,081.31 = 525.38/x
  3. Step 3: Cross multiply
    721.53x = 1,081.31 × 525.38
  4. Step 4: Simplify right side
    721.53x = 568,090.61
  5. Step 5: Solve for x
    x = 568,090.61/721.53
  6. Step 6: Final answer
    x = 787.34

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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.