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Finding the Fourth Proportional to 1,422.77, 2,132.69 and 545.03

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Solution

The fourth proportional to 1,422.77, 2,132.69 and 545.03 is: 816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.77 : 2,132.69 = 545.03 : x
  2. Step 2: Convert to fraction form
    1,422.77/2,132.69 = 545.03/x
  3. Step 3: Cross multiply
    1,422.77x = 2,132.69 × 545.03
  4. Step 4: Simplify right side
    1,422.77x = 1,162,375.02
  5. Step 5: Solve for x
    x = 1,162,375.02/1,422.77
  6. Step 6: Final answer
    x = 816.98

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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.