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Finding the Fourth Proportional to 966.75, 1,451.32 and 915.72

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Solution

The fourth proportional to 966.75, 1,451.32 and 915.72 is: 1,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.75 : 1,451.32 = 915.72 : x
  2. Step 2: Convert to fraction form
    966.75/1,451.32 = 915.72/x
  3. Step 3: Cross multiply
    966.75x = 1,451.32 × 915.72
  4. Step 4: Simplify right side
    966.75x = 1,329,002.75
  5. Step 5: Solve for x
    x = 1,329,002.75/966.75
  6. Step 6: Final answer
    x = 1,374.71

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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.