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Finding the Fourth Proportional to 1,285.57, 1,773.17 and 1,087.71

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Solution

The fourth proportional to 1,285.57, 1,773.17 and 1,087.71 is: 1,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.57 : 1,773.17 = 1,087.71 : x
  2. Step 2: Convert to fraction form
    1,285.57/1,773.17 = 1,087.71/x
  3. Step 3: Cross multiply
    1,285.57x = 1,773.17 × 1,087.71
  4. Step 4: Simplify right side
    1,285.57x = 1,928,686.73
  5. Step 5: Solve for x
    x = 1,928,686.73/1,285.57
  6. Step 6: Final answer
    x = 1,500.26

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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.