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Finding the Fourth Proportional to 814.43, 1,220.91 and 327.15

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Solution

The fourth proportional to 814.43, 1,220.91 and 327.15 is: 490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.43 : 1,220.91 = 327.15 : x
  2. Step 2: Convert to fraction form
    814.43/1,220.91 = 327.15/x
  3. Step 3: Cross multiply
    814.43x = 1,220.91 × 327.15
  4. Step 4: Simplify right side
    814.43x = 399,420.71
  5. Step 5: Solve for x
    x = 399,420.71/814.43
  6. Step 6: Final answer
    x = 490.43

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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.