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Finding the Fourth Proportional to 1,082.90, 1,493.97 and 787.52

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Solution

The fourth proportional to 1,082.90, 1,493.97 and 787.52 is: 1,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.90 : 1,493.97 = 787.52 : x
  2. Step 2: Convert to fraction form
    1,082.90/1,493.97 = 787.52/x
  3. Step 3: Cross multiply
    1,082.90x = 1,493.97 × 787.52
  4. Step 4: Simplify right side
    1,082.90x = 1,176,531.25
  5. Step 5: Solve for x
    x = 1,176,531.25/1,082.90
  6. Step 6: Final answer
    x = 1,086.46

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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.