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Finding the Fourth Proportional to 564.26, 778.66 and 331.38

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Solution

The fourth proportional to 564.26, 778.66 and 331.38 is: 457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.26 : 778.66 = 331.38 : x
  2. Step 2: Convert to fraction form
    564.26/778.66 = 331.38/x
  3. Step 3: Cross multiply
    564.26x = 778.66 × 331.38
  4. Step 4: Simplify right side
    564.26x = 258,032.35
  5. Step 5: Solve for x
    x = 258,032.35/564.26
  6. Step 6: Final answer
    x = 457.29

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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.