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Finding the Fourth Proportional to 724.90, 1,082.05 and 622.84

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Solution

The fourth proportional to 724.90, 1,082.05 and 622.84 is: 929.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.90 : 1,082.05 = 622.84 : x
  2. Step 2: Convert to fraction form
    724.90/1,082.05 = 622.84/x
  3. Step 3: Cross multiply
    724.90x = 1,082.05 × 622.84
  4. Step 4: Simplify right side
    724.90x = 673,940.91
  5. Step 5: Solve for x
    x = 673,940.91/724.90
  6. Step 6: Final answer
    x = 929.70

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1.5x scale

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.