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Finding the Fourth Proportional to 814.26, 1,221.48 and 320.97

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Solution

The fourth proportional to 814.26, 1,221.48 and 320.97 is: 481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.26 : 1,221.48 = 320.97 : x
  2. Step 2: Convert to fraction form
    814.26/1,221.48 = 320.97/x
  3. Step 3: Cross multiply
    814.26x = 1,221.48 × 320.97
  4. Step 4: Simplify right side
    814.26x = 392,058.44
  5. Step 5: Solve for x
    x = 392,058.44/814.26
  6. Step 6: Final answer
    x = 481.49

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1.5x scale

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.