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Finding the Fourth Proportional to 564.49, 778.98 and 343.36

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Solution

The fourth proportional to 564.49, 778.98 and 343.36 is: 473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.49 : 778.98 = 343.36 : x
  2. Step 2: Convert to fraction form
    564.49/778.98 = 343.36/x
  3. Step 3: Cross multiply
    564.49x = 778.98 × 343.36
  4. Step 4: Simplify right side
    564.49x = 267,470.57
  5. Step 5: Solve for x
    x = 267,470.57/564.49
  6. Step 6: Final answer
    x = 473.83

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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.