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Finding the Fourth Proportional to 564.19, 845.96 and 174.09

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Solution

The fourth proportional to 564.19, 845.96 and 174.09 is: 261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.19 : 845.96 = 174.09 : x
  2. Step 2: Convert to fraction form
    564.19/845.96 = 174.09/x
  3. Step 3: Cross multiply
    564.19x = 845.96 × 174.09
  4. Step 4: Simplify right side
    564.19x = 147,273.02
  5. Step 5: Solve for x
    x = 147,273.02/564.19
  6. Step 6: Final answer
    x = 261.03

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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.