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Finding the Fourth Proportional to 564.75, 779.42 and 331.88

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Solution

The fourth proportional to 564.75, 779.42 and 331.88 is: 458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.75 : 779.42 = 331.88 : x
  2. Step 2: Convert to fraction form
    564.75/779.42 = 331.88/x
  3. Step 3: Cross multiply
    564.75x = 779.42 × 331.88
  4. Step 4: Simplify right side
    564.75x = 258,670.84
  5. Step 5: Solve for x
    x = 258,670.84/564.75
  6. Step 6: Final answer
    x = 458.03

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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.