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Finding the Fourth Proportional to 814.65, 1,221.57 and 567.97

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Solution

The fourth proportional to 814.65, 1,221.57 and 567.97 is: 851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.65 : 1,221.57 = 567.97 : x
  2. Step 2: Convert to fraction form
    814.65/1,221.57 = 567.97/x
  3. Step 3: Cross multiply
    814.65x = 1,221.57 × 567.97
  4. Step 4: Simplify right side
    814.65x = 693,816.75
  5. Step 5: Solve for x
    x = 693,816.75/814.65
  6. Step 6: Final answer
    x = 851.68

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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.