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Finding the Fourth Proportional to 752.56, 1,127.15 and 586.73

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Solution

The fourth proportional to 752.56, 1,127.15 and 586.73 is: 878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.56 : 1,127.15 = 586.73 : x
  2. Step 2: Convert to fraction form
    752.56/1,127.15 = 586.73/x
  3. Step 3: Cross multiply
    752.56x = 1,127.15 × 586.73
  4. Step 4: Simplify right side
    752.56x = 661,329.79
  5. Step 5: Solve for x
    x = 661,329.79/752.56
  6. Step 6: Final answer
    x = 878.78

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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.