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Finding the Fourth Proportional to 752.29, 1,129.15 and 580.81

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Solution

The fourth proportional to 752.29, 1,129.15 and 580.81 is: 871.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.29 : 1,129.15 = 580.81 : x
  2. Step 2: Convert to fraction form
    752.29/1,129.15 = 580.81/x
  3. Step 3: Cross multiply
    752.29x = 1,129.15 × 580.81
  4. Step 4: Simplify right side
    752.29x = 655,820.86
  5. Step 5: Solve for x
    x = 655,820.86/752.29
  6. Step 6: Final answer
    x = 871.76

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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.