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Finding the Fourth Proportional to 966.14, 1,439.02 and 945.89

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Solution

The fourth proportional to 966.14, 1,439.02 and 945.89 is: 1,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.14 : 1,439.02 = 945.89 : x
  2. Step 2: Convert to fraction form
    966.14/1,439.02 = 945.89/x
  3. Step 3: Cross multiply
    966.14x = 1,439.02 × 945.89
  4. Step 4: Simplify right side
    966.14x = 1,361,160.59
  5. Step 5: Solve for x
    x = 1,361,160.59/966.14
  6. Step 6: Final answer
    x = 1,408.86

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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.