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Finding the Fourth Proportional to 1,082.52, 1,620.73 and 839.52

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Solution

The fourth proportional to 1,082.52, 1,620.73 and 839.52 is: 1,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.52 : 1,620.73 = 839.52 : x
  2. Step 2: Convert to fraction form
    1,082.52/1,620.73 = 839.52/x
  3. Step 3: Cross multiply
    1,082.52x = 1,620.73 × 839.52
  4. Step 4: Simplify right side
    1,082.52x = 1,360,635.25
  5. Step 5: Solve for x
    x = 1,360,635.25/1,082.52
  6. Step 6: Final answer
    x = 1,256.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.