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Finding the Fourth Proportional to 1,132.43, 1,562.84 and 635.18

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Solution

The fourth proportional to 1,132.43, 1,562.84 and 635.18 is: 876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.43 : 1,562.84 = 635.18 : x
  2. Step 2: Convert to fraction form
    1,132.43/1,562.84 = 635.18/x
  3. Step 3: Cross multiply
    1,132.43x = 1,562.84 × 635.18
  4. Step 4: Simplify right side
    1,132.43x = 992,673.72
  5. Step 5: Solve for x
    x = 992,673.72/1,132.43
  6. Step 6: Final answer
    x = 876.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.