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Finding the Fourth Proportional to 752.72, 1,038.89 and 575.39

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Solution

The fourth proportional to 752.72, 1,038.89 and 575.39 is: 794.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.72 : 1,038.89 = 575.39 : x
  2. Step 2: Convert to fraction form
    752.72/1,038.89 = 575.39/x
  3. Step 3: Cross multiply
    752.72x = 1,038.89 × 575.39
  4. Step 4: Simplify right side
    752.72x = 597,766.92
  5. Step 5: Solve for x
    x = 597,766.92/752.72
  6. Step 6: Final answer
    x = 794.14

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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.