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Finding the Fourth Proportional to 750.13, 1,123.46 and 724.18

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Solution

The fourth proportional to 750.13, 1,123.46 and 724.18 is: 1,084.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.13 : 1,123.46 = 724.18 : x
  2. Step 2: Convert to fraction form
    750.13/1,123.46 = 724.18/x
  3. Step 3: Cross multiply
    750.13x = 1,123.46 × 724.18
  4. Step 4: Simplify right side
    750.13x = 813,587.26
  5. Step 5: Solve for x
    x = 813,587.26/750.13
  6. Step 6: Final answer
    x = 1,084.60

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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.