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Finding the Fourth Proportional to 966.50, 1,449.62 and 273.21

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Solution

The fourth proportional to 966.50, 1,449.62 and 273.21 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.50 : 1,449.62 = 273.21 : x
  2. Step 2: Convert to fraction form
    966.50/1,449.62 = 273.21/x
  3. Step 3: Cross multiply
    966.50x = 1,449.62 × 273.21
  4. Step 4: Simplify right side
    966.50x = 396,049.31
  5. Step 5: Solve for x
    x = 396,049.31/966.50
  6. Step 6: Final answer
    x = 409.78

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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.