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Finding the Fourth Proportional to 564.54, 778.98 and 343.45

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Solution

The fourth proportional to 564.54, 778.98 and 343.45 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 778.98 = 343.45 : x
  2. Step 2: Convert to fraction form
    564.54/778.98 = 343.45/x
  3. Step 3: Cross multiply
    564.54x = 778.98 × 343.45
  4. Step 4: Simplify right side
    564.54x = 267,540.68
  5. Step 5: Solve for x
    x = 267,540.68/564.54
  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.