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Finding the Fourth Proportional to 963.89, 1,439.29 and 766.68

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Solution

The fourth proportional to 963.89, 1,439.29 and 766.68 is: 1,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.89 : 1,439.29 = 766.68 : x
  2. Step 2: Convert to fraction form
    963.89/1,439.29 = 766.68/x
  3. Step 3: Cross multiply
    963.89x = 1,439.29 × 766.68
  4. Step 4: Simplify right side
    963.89x = 1,103,472.94
  5. Step 5: Solve for x
    x = 1,103,472.94/963.89
  6. Step 6: Final answer
    x = 1,144.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.