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Finding the Fourth Proportional to 966.11, 1,437.54 and 962.87

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Solution

The fourth proportional to 966.11, 1,437.54 and 962.87 is: 1,432.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.11 : 1,437.54 = 962.87 : x
  2. Step 2: Convert to fraction form
    966.11/1,437.54 = 962.87/x
  3. Step 3: Cross multiply
    966.11x = 1,437.54 × 962.87
  4. Step 4: Simplify right side
    966.11x = 1,384,153.34
  5. Step 5: Solve for x
    x = 1,384,153.34/966.11
  6. Step 6: Final answer
    x = 1,432.72

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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.