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Finding the Fourth Proportional to 911.90, 1,367.49 and 326.79

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Solution

The fourth proportional to 911.90, 1,367.49 and 326.79 is: 490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.90 : 1,367.49 = 326.79 : x
  2. Step 2: Convert to fraction form
    911.90/1,367.49 = 326.79/x
  3. Step 3: Cross multiply
    911.90x = 1,367.49 × 326.79
  4. Step 4: Simplify right side
    911.90x = 446,882.06
  5. Step 5: Solve for x
    x = 446,882.06/911.90
  6. Step 6: Final answer
    x = 490.06

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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.