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Finding the Fourth Proportional to 814.14, 1,221.03 and 381.06

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Solution

The fourth proportional to 814.14, 1,221.03 and 381.06 is: 571.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.14 : 1,221.03 = 381.06 : x
  2. Step 2: Convert to fraction form
    814.14/1,221.03 = 381.06/x
  3. Step 3: Cross multiply
    814.14x = 1,221.03 × 381.06
  4. Step 4: Simplify right side
    814.14x = 465,285.69
  5. Step 5: Solve for x
    x = 465,285.69/814.14
  6. Step 6: Final answer
    x = 571.51

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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.