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Finding the Fourth Proportional to 540.20, 811.14 and 432.92

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Solution

The fourth proportional to 540.20, 811.14 and 432.92 is: 650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.20 : 811.14 = 432.92 : x
  2. Step 2: Convert to fraction form
    540.20/811.14 = 432.92/x
  3. Step 3: Cross multiply
    540.20x = 811.14 × 432.92
  4. Step 4: Simplify right side
    540.20x = 351,158.73
  5. Step 5: Solve for x
    x = 351,158.73/540.20
  6. Step 6: Final answer
    x = 650.05

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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.