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Finding the Fourth Proportional to 643.92, 966.27 and 273.71

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Solution

The fourth proportional to 643.92, 966.27 and 273.71 is: 410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.92 : 966.27 = 273.71 : x
  2. Step 2: Convert to fraction form
    643.92/966.27 = 273.71/x
  3. Step 3: Cross multiply
    643.92x = 966.27 × 273.71
  4. Step 4: Simplify right side
    643.92x = 264,480.43
  5. Step 5: Solve for x
    x = 264,480.43/643.92
  6. Step 6: Final answer
    x = 410.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.