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Finding the Fourth Proportional to 614.31, 843.29 and 565.09

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Solution

The fourth proportional to 614.31, 843.29 and 565.09 is: 775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.31 : 843.29 = 565.09 : x
  2. Step 2: Convert to fraction form
    614.31/843.29 = 565.09/x
  3. Step 3: Cross multiply
    614.31x = 843.29 × 565.09
  4. Step 4: Simplify right side
    614.31x = 476,534.75
  5. Step 5: Solve for x
    x = 476,534.75/614.31
  6. Step 6: Final answer
    x = 775.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.