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Finding the Fourth Proportional to 814.38, 1,221.21 and 571.02

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Solution

The fourth proportional to 814.38, 1,221.21 and 571.02 is: 856.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.38 : 1,221.21 = 571.02 : x
  2. Step 2: Convert to fraction form
    814.38/1,221.21 = 571.02/x
  3. Step 3: Cross multiply
    814.38x = 1,221.21 × 571.02
  4. Step 4: Simplify right side
    814.38x = 697,335.33
  5. Step 5: Solve for x
    x = 697,335.33/814.38
  6. Step 6: Final answer
    x = 856.28

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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.