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Finding the Fourth Proportional to 724.73, 1,082.49 and 622.40

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Solution

The fourth proportional to 724.73, 1,082.49 and 622.40 is: 929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.73 : 1,082.49 = 622.40 : x
  2. Step 2: Convert to fraction form
    724.73/1,082.49 = 622.40/x
  3. Step 3: Cross multiply
    724.73x = 1,082.49 × 622.40
  4. Step 4: Simplify right side
    724.73x = 673,734.03
  5. Step 5: Solve for x
    x = 673,734.03/724.73
  6. Step 6: Final answer
    x = 929.64

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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.