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Finding the Fourth Proportional to 966.26, 1,447.56 and 748.77

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Solution

The fourth proportional to 966.26, 1,447.56 and 748.77 is: 1,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.26 : 1,447.56 = 748.77 : x
  2. Step 2: Convert to fraction form
    966.26/1,447.56 = 748.77/x
  3. Step 3: Cross multiply
    966.26x = 1,447.56 × 748.77
  4. Step 4: Simplify right side
    966.26x = 1,083,889.50
  5. Step 5: Solve for x
    x = 1,083,889.50/966.26
  6. Step 6: Final answer
    x = 1,121.74

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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.