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Finding the Fourth Proportional to 564.27, 778.11 and 387.38

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Solution

The fourth proportional to 564.27, 778.11 and 387.38 is: 534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.27 : 778.11 = 387.38 : x
  2. Step 2: Convert to fraction form
    564.27/778.11 = 387.38/x
  3. Step 3: Cross multiply
    564.27x = 778.11 × 387.38
  4. Step 4: Simplify right side
    564.27x = 301,424.74
  5. Step 5: Solve for x
    x = 301,424.74/564.27
  6. Step 6: Final answer
    x = 534.19

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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.