Home / 1,092.38-1,635.30-742.95

Finding the Fourth Proportional to 1,092.38, 1,635.30 and 742.95

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Solution

The fourth proportional to 1,092.38, 1,635.30 and 742.95 is: 1,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.38 : 1,635.30 = 742.95 : x
  2. Step 2: Convert to fraction form
    1,092.38/1,635.30 = 742.95/x
  3. Step 3: Cross multiply
    1,092.38x = 1,635.30 × 742.95
  4. Step 4: Simplify right side
    1,092.38x = 1,214,946.14
  5. Step 5: Solve for x
    x = 1,214,946.14/1,092.38
  6. Step 6: Final answer
    x = 1,112.21

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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.