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Finding the Fourth Proportional to 724.16, 1,080.99 and 636.57

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Solution

The fourth proportional to 724.16, 1,080.99 and 636.57 is: 950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.16 : 1,080.99 = 636.57 : x
  2. Step 2: Convert to fraction form
    724.16/1,080.99 = 636.57/x
  3. Step 3: Cross multiply
    724.16x = 1,080.99 × 636.57
  4. Step 4: Simplify right side
    724.16x = 688,125.80
  5. Step 5: Solve for x
    x = 688,125.80/724.16
  6. Step 6: Final answer
    x = 950.25

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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.