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Finding the Fourth Proportional to 1,082.55, 1,493.87 and 662.97

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Solution

The fourth proportional to 1,082.55, 1,493.87 and 662.97 is: 914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.55 : 1,493.87 = 662.97 : x
  2. Step 2: Convert to fraction form
    1,082.55/1,493.87 = 662.97/x
  3. Step 3: Cross multiply
    1,082.55x = 1,493.87 × 662.97
  4. Step 4: Simplify right side
    1,082.55x = 990,387.68
  5. Step 5: Solve for x
    x = 990,387.68/1,082.55
  6. Step 6: Final answer
    x = 914.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.