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Finding the Fourth Proportional to 564.66, 847.13 and 194.49

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Solution

The fourth proportional to 564.66, 847.13 and 194.49 is: 291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.66 : 847.13 = 194.49 : x
  2. Step 2: Convert to fraction form
    564.66/847.13 = 194.49/x
  3. Step 3: Cross multiply
    564.66x = 847.13 × 194.49
  4. Step 4: Simplify right side
    564.66x = 164,757.34
  5. Step 5: Solve for x
    x = 164,757.34/564.66
  6. Step 6: Final answer
    x = 291.78

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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.