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Finding the Fourth Proportional to 814.29, 1,221.43 and 571.89

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Solution

The fourth proportional to 814.29, 1,221.43 and 571.89 is: 857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.29 : 1,221.43 = 571.89 : x
  2. Step 2: Convert to fraction form
    814.29/1,221.43 = 571.89/x
  3. Step 3: Cross multiply
    814.29x = 1,221.43 × 571.89
  4. Step 4: Simplify right side
    814.29x = 698,527.83
  5. Step 5: Solve for x
    x = 698,527.83/814.29
  6. Step 6: Final answer
    x = 857.84

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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.