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Finding the Fourth Proportional to 552.56, 757.46 and 542.61

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Solution

The fourth proportional to 552.56, 757.46 and 542.61 is: 743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.56 : 757.46 = 542.61 : x
  2. Step 2: Convert to fraction form
    552.56/757.46 = 542.61/x
  3. Step 3: Cross multiply
    552.56x = 757.46 × 542.61
  4. Step 4: Simplify right side
    552.56x = 411,004.10
  5. Step 5: Solve for x
    x = 411,004.10/552.56
  6. Step 6: Final answer
    x = 743.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.