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Finding the Fourth Proportional to 943.11, 1,414.33 and 326.65

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Solution

The fourth proportional to 943.11, 1,414.33 and 326.65 is: 489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.11 : 1,414.33 = 326.65 : x
  2. Step 2: Convert to fraction form
    943.11/1,414.33 = 326.65/x
  3. Step 3: Cross multiply
    943.11x = 1,414.33 × 326.65
  4. Step 4: Simplify right side
    943.11x = 461,990.89
  5. Step 5: Solve for x
    x = 461,990.89/943.11
  6. Step 6: Final answer
    x = 489.86

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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.