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Finding the Fourth Proportional to 814.01, 1,221.83 and 448.97

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Solution

The fourth proportional to 814.01, 1,221.83 and 448.97 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.01 : 1,221.83 = 448.97 : x
  2. Step 2: Convert to fraction form
    814.01/1,221.83 = 448.97/x
  3. Step 3: Cross multiply
    814.01x = 1,221.83 × 448.97
  4. Step 4: Simplify right side
    814.01x = 548,569.19
  5. Step 5: Solve for x
    x = 548,569.19/814.01
  6. Step 6: Final answer
    x = 673.91

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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.