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Finding the Fourth Proportional to 564.54, 779.22 and 331.74

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Solution

The fourth proportional to 564.54, 779.22 and 331.74 is: 457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 779.22 = 331.74 : x
  2. Step 2: Convert to fraction form
    564.54/779.22 = 331.74/x
  3. Step 3: Cross multiply
    564.54x = 779.22 × 331.74
  4. Step 4: Simplify right side
    564.54x = 258,498.44
  5. Step 5: Solve for x
    x = 258,498.44/564.54
  6. Step 6: Final answer
    x = 457.89

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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.