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Finding the Fourth Proportional to 748.50, 1,121.97 and 542.55

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Solution

The fourth proportional to 748.50, 1,121.97 and 542.55 is: 813.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.50 : 1,121.97 = 542.55 : x
  2. Step 2: Convert to fraction form
    748.50/1,121.97 = 542.55/x
  3. Step 3: Cross multiply
    748.50x = 1,121.97 × 542.55
  4. Step 4: Simplify right side
    748.50x = 608,724.82
  5. Step 5: Solve for x
    x = 608,724.82/748.50
  6. Step 6: Final answer
    x = 813.26

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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.