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Finding the Fourth Proportional to 564.31, 778.74 and 343.27

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Solution

The fourth proportional to 564.31, 778.74 and 343.27 is: 473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.31 : 778.74 = 343.27 : x
  2. Step 2: Convert to fraction form
    564.31/778.74 = 343.27/x
  3. Step 3: Cross multiply
    564.31x = 778.74 × 343.27
  4. Step 4: Simplify right side
    564.31x = 267,318.08
  5. Step 5: Solve for x
    x = 267,318.08/564.31
  6. Step 6: Final answer
    x = 473.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.