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Finding the Fourth Proportional to 564.11, 778.42 and 327.98

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Solution

The fourth proportional to 564.11, 778.42 and 327.98 is: 452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.11 : 778.42 = 327.98 : x
  2. Step 2: Convert to fraction form
    564.11/778.42 = 327.98/x
  3. Step 3: Cross multiply
    564.11x = 778.42 × 327.98
  4. Step 4: Simplify right side
    564.11x = 255,300.66
  5. Step 5: Solve for x
    x = 255,300.66/564.11
  6. Step 6: Final answer
    x = 452.58

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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.