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Finding the Fourth Proportional to 542.87, 748.75 and 366.02

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Solution

The fourth proportional to 542.87, 748.75 and 366.02 is: 504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.87 : 748.75 = 366.02 : x
  2. Step 2: Convert to fraction form
    542.87/748.75 = 366.02/x
  3. Step 3: Cross multiply
    542.87x = 748.75 × 366.02
  4. Step 4: Simplify right side
    542.87x = 274,057.48
  5. Step 5: Solve for x
    x = 274,057.48/542.87
  6. Step 6: Final answer
    x = 504.83

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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.