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Finding the Fourth Proportional to 724.24, 1,080.66 and 680.15

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Solution

The fourth proportional to 724.24, 1,080.66 and 680.15 is: 1,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.24 : 1,080.66 = 680.15 : x
  2. Step 2: Convert to fraction form
    724.24/1,080.66 = 680.15/x
  3. Step 3: Cross multiply
    724.24x = 1,080.66 × 680.15
  4. Step 4: Simplify right side
    724.24x = 735,010.90
  5. Step 5: Solve for x
    x = 735,010.90/724.24
  6. Step 6: Final answer
    x = 1,014.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.