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Finding the Fourth Proportional to 1,082.78, 1,494.27 and 617

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Solution

The fourth proportional to 1,082.78, 1,494.27 and 617 is: 851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.78 : 1,494.27 = 617 : x
  2. Step 2: Convert to fraction form
    1,082.78/1,494.27 = 617/x
  3. Step 3: Cross multiply
    1,082.78x = 1,494.27 × 617
  4. Step 4: Simplify right side
    1,082.78x = 921,964.59
  5. Step 5: Solve for x
    x = 921,964.59/1,082.78
  6. Step 6: Final answer
    x = 851.48

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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.