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Finding the Fourth Proportional to 966.86, 1,438.65 and 963.62

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Solution

The fourth proportional to 966.86, 1,438.65 and 963.62 is: 1,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.86 : 1,438.65 = 963.62 : x
  2. Step 2: Convert to fraction form
    966.86/1,438.65 = 963.62/x
  3. Step 3: Cross multiply
    966.86x = 1,438.65 × 963.62
  4. Step 4: Simplify right side
    966.86x = 1,386,304.72
  5. Step 5: Solve for x
    x = 1,386,304.72/966.86
  6. Step 6: Final answer
    x = 1,433.83

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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.