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Finding the Fourth Proportional to 752.52, 1,038.89 and 516.60

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Solution

The fourth proportional to 752.52, 1,038.89 and 516.60 is: 713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.52 : 1,038.89 = 516.60 : x
  2. Step 2: Convert to fraction form
    752.52/1,038.89 = 516.60/x
  3. Step 3: Cross multiply
    752.52x = 1,038.89 × 516.60
  4. Step 4: Simplify right side
    752.52x = 536,692.61
  5. Step 5: Solve for x
    x = 536,692.61/752.52
  6. Step 6: Final answer
    x = 713.20

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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.