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Finding the Fourth Proportional to 763, 1,052.52 and 542.28

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Solution

The fourth proportional to 763, 1,052.52 and 542.28 is: 748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    763 : 1,052.52 = 542.28 : x
  2. Step 2: Convert to fraction form
    763/1,052.52 = 542.28/x
  3. Step 3: Cross multiply
    763x = 1,052.52 × 542.28
  4. Step 4: Simplify right side
    763x = 570,760.55
  5. Step 5: Solve for x
    x = 570,760.55/763
  6. Step 6: Final answer
    x = 748.05

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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.