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Finding the Fourth Proportional to 1,133.73, 1,702.26 and 991.17

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Solution

The fourth proportional to 1,133.73, 1,702.26 and 991.17 is: 1,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.73 : 1,702.26 = 991.17 : x
  2. Step 2: Convert to fraction form
    1,133.73/1,702.26 = 991.17/x
  3. Step 3: Cross multiply
    1,133.73x = 1,702.26 × 991.17
  4. Step 4: Simplify right side
    1,133.73x = 1,687,229.04
  5. Step 5: Solve for x
    x = 1,687,229.04/1,133.73
  6. Step 6: Final answer
    x = 1,488.21

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Why These Related Problems?

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