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Finding the Fourth Proportional to 564.69, 846.94 and 217.88

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Solution

The fourth proportional to 564.69, 846.94 and 217.88 is: 326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.69 : 846.94 = 217.88 : x
  2. Step 2: Convert to fraction form
    564.69/846.94 = 217.88/x
  3. Step 3: Cross multiply
    564.69x = 846.94 × 217.88
  4. Step 4: Simplify right side
    564.69x = 184,531.29
  5. Step 5: Solve for x
    x = 184,531.29/564.69
  6. Step 6: Final answer
    x = 326.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.