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Finding the Fourth Proportional to 738.52, 1,101.92 and 731.34

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Solution

The fourth proportional to 738.52, 1,101.92 and 731.34 is: 1,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.52 : 1,101.92 = 731.34 : x
  2. Step 2: Convert to fraction form
    738.52/1,101.92 = 731.34/x
  3. Step 3: Cross multiply
    738.52x = 1,101.92 × 731.34
  4. Step 4: Simplify right side
    738.52x = 805,874.52
  5. Step 5: Solve for x
    x = 805,874.52/738.52
  6. Step 6: Final answer
    x = 1,091.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.