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Finding the Fourth Proportional to 966.94, 1,333.13 and 789.71

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Solution

The fourth proportional to 966.94, 1,333.13 and 789.71 is: 1,088.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.94 : 1,333.13 = 789.71 : x
  2. Step 2: Convert to fraction form
    966.94/1,333.13 = 789.71/x
  3. Step 3: Cross multiply
    966.94x = 1,333.13 × 789.71
  4. Step 4: Simplify right side
    966.94x = 1,052,785.20
  5. Step 5: Solve for x
    x = 1,052,785.20/966.94
  6. Step 6: Final answer
    x = 1,088.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.