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Finding the Fourth Proportional to 633.13, 878.19 and 616.28

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Solution

The fourth proportional to 633.13, 878.19 and 616.28 is: 854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.13 : 878.19 = 616.28 : x
  2. Step 2: Convert to fraction form
    633.13/878.19 = 616.28/x
  3. Step 3: Cross multiply
    633.13x = 878.19 × 616.28
  4. Step 4: Simplify right side
    633.13x = 541,207.70
  5. Step 5: Solve for x
    x = 541,207.70/633.13
  6. Step 6: Final answer
    x = 854.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.