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Finding the Fourth Proportional to 814.06, 1,220.97 and 326.74

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Solution

The fourth proportional to 814.06, 1,220.97 and 326.74 is: 490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.06 : 1,220.97 = 326.74 : x
  2. Step 2: Convert to fraction form
    814.06/1,220.97 = 326.74/x
  3. Step 3: Cross multiply
    814.06x = 1,220.97 × 326.74
  4. Step 4: Simplify right side
    814.06x = 398,939.74
  5. Step 5: Solve for x
    x = 398,939.74/814.06
  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.