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Finding the Fourth Proportional to 1,422.87, 2,132.84 and 545.13

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Solution

The fourth proportional to 1,422.87, 2,132.84 and 545.13 is: 817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.87 : 2,132.84 = 545.13 : x
  2. Step 2: Convert to fraction form
    1,422.87/2,132.84 = 545.13/x
  3. Step 3: Cross multiply
    1,422.87x = 2,132.84 × 545.13
  4. Step 4: Simplify right side
    1,422.87x = 1,162,686.20
  5. Step 5: Solve for x
    x = 1,162,686.20/1,422.87
  6. Step 6: Final answer
    x = 817.14

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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.