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Finding the Fourth Proportional to 752.53, 1,129.65 and 749.80

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Solution

The fourth proportional to 752.53, 1,129.65 and 749.80 is: 1,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.53 : 1,129.65 = 749.80 : x
  2. Step 2: Convert to fraction form
    752.53/1,129.65 = 749.80/x
  3. Step 3: Cross multiply
    752.53x = 1,129.65 × 749.80
  4. Step 4: Simplify right side
    752.53x = 847,011.57
  5. Step 5: Solve for x
    x = 847,011.57/752.53
  6. Step 6: Final answer
    x = 1,125.55

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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.