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Finding the Fourth Proportional to 564.56, 778.98 and 343.46

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Solution

The fourth proportional to 564.56, 778.98 and 343.46 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.56 : 778.98 = 343.46 : x
  2. Step 2: Convert to fraction form
    564.56/778.98 = 343.46/x
  3. Step 3: Cross multiply
    564.56x = 778.98 × 343.46
  4. Step 4: Simplify right side
    564.56x = 267,548.47
  5. Step 5: Solve for x
    x = 267,548.47/564.56
  6. Step 6: Final answer
    x = 473.91

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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.