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Finding the Fourth Proportional to 943.15, 1,414.38 and 326.68

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Solution

The fourth proportional to 943.15, 1,414.38 and 326.68 is: 489.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.15 : 1,414.38 = 326.68 : x
  2. Step 2: Convert to fraction form
    943.15/1,414.38 = 326.68/x
  3. Step 3: Cross multiply
    943.15x = 1,414.38 × 326.68
  4. Step 4: Simplify right side
    943.15x = 462,049.66
  5. Step 5: Solve for x
    x = 462,049.66/943.15
  6. Step 6: Final answer
    x = 489.90

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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.