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Finding the Fourth Proportional to 966.45, 1,447.65 and 760.05

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Solution

The fourth proportional to 966.45, 1,447.65 and 760.05 is: 1,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.45 : 1,447.65 = 760.05 : x
  2. Step 2: Convert to fraction form
    966.45/1,447.65 = 760.05/x
  3. Step 3: Cross multiply
    966.45x = 1,447.65 × 760.05
  4. Step 4: Simplify right side
    966.45x = 1,100,286.38
  5. Step 5: Solve for x
    x = 1,100,286.38/966.45
  6. Step 6: Final answer
    x = 1,138.48

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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.