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Finding the Fourth Proportional to 1,553.72, 2,331.12 and 732.12

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Solution

The fourth proportional to 1,553.72, 2,331.12 and 732.12 is: 1,098.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.72 : 2,331.12 = 732.12 : x
  2. Step 2: Convert to fraction form
    1,553.72/2,331.12 = 732.12/x
  3. Step 3: Cross multiply
    1,553.72x = 2,331.12 × 732.12
  4. Step 4: Simplify right side
    1,553.72x = 1,706,659.57
  5. Step 5: Solve for x
    x = 1,706,659.57/1,553.72
  6. Step 6: Final answer
    x = 1,098.43

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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.