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Finding the Fourth Proportional to 564.25, 778.67 and 343.15

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Solution

The fourth proportional to 564.25, 778.67 and 343.15 is: 473.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.25 : 778.67 = 343.15 : x
  2. Step 2: Convert to fraction form
    564.25/778.67 = 343.15/x
  3. Step 3: Cross multiply
    564.25x = 778.67 × 343.15
  4. Step 4: Simplify right side
    564.25x = 267,200.61
  5. Step 5: Solve for x
    x = 267,200.61/564.25
  6. Step 6: Final answer
    x = 473.55

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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.