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Finding the Fourth Proportional to 963.07, 1,441.33 and 616.64

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Solution

The fourth proportional to 963.07, 1,441.33 and 616.64 is: 922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.07 : 1,441.33 = 616.64 : x
  2. Step 2: Convert to fraction form
    963.07/1,441.33 = 616.64/x
  3. Step 3: Cross multiply
    963.07x = 1,441.33 × 616.64
  4. Step 4: Simplify right side
    963.07x = 888,781.73
  5. Step 5: Solve for x
    x = 888,781.73/963.07
  6. Step 6: Final answer
    x = 922.86

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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.