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Finding the Fourth Proportional to 643.20, 966.17 and 545.90

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Solution

The fourth proportional to 643.20, 966.17 and 545.90 is: 820.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.20 : 966.17 = 545.90 : x
  2. Step 2: Convert to fraction form
    643.20/966.17 = 545.90/x
  3. Step 3: Cross multiply
    643.20x = 966.17 × 545.90
  4. Step 4: Simplify right side
    643.20x = 527,432.20
  5. Step 5: Solve for x
    x = 527,432.20/643.20
  6. Step 6: Final answer
    x = 820.01

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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.