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Finding the Fourth Proportional to 1,132.22, 1,562.52 and 634.83

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Solution

The fourth proportional to 1,132.22, 1,562.52 and 634.83 is: 876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.22 : 1,562.52 = 634.83 : x
  2. Step 2: Convert to fraction form
    1,132.22/1,562.52 = 634.83/x
  3. Step 3: Cross multiply
    1,132.22x = 1,562.52 × 634.83
  4. Step 4: Simplify right side
    1,132.22x = 991,934.57
  5. Step 5: Solve for x
    x = 991,934.57/1,132.22
  6. Step 6: Final answer
    x = 876.10

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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.