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Finding the Fourth Proportional to 642.17, 966.98 and 545.01

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Solution

The fourth proportional to 642.17, 966.98 and 545.01 is: 820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.17 : 966.98 = 545.01 : x
  2. Step 2: Convert to fraction form
    642.17/966.98 = 545.01/x
  3. Step 3: Cross multiply
    642.17x = 966.98 × 545.01
  4. Step 4: Simplify right side
    642.17x = 527,015.13
  5. Step 5: Solve for x
    x = 527,015.13/642.17
  6. Step 6: Final answer
    x = 820.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.