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Finding the Fourth Proportional to 977.89, 1,463.20 and 966.96

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Solution

The fourth proportional to 977.89, 1,463.20 and 966.96 is: 1,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.89 : 1,463.20 = 966.96 : x
  2. Step 2: Convert to fraction form
    977.89/1,463.20 = 966.96/x
  3. Step 3: Cross multiply
    977.89x = 1,463.20 × 966.96
  4. Step 4: Simplify right side
    977.89x = 1,414,849.81
  5. Step 5: Solve for x
    x = 1,414,849.81/977.89
  6. Step 6: Final answer
    x = 1,446.83

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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.