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Finding the Fourth Proportional to 564.14, 845.89 and 174.03

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Solution

The fourth proportional to 564.14, 845.89 and 174.03 is: 260.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 845.89 = 174.03 : x
  2. Step 2: Convert to fraction form
    564.14/845.89 = 174.03/x
  3. Step 3: Cross multiply
    564.14x = 845.89 × 174.03
  4. Step 4: Simplify right side
    564.14x = 147,206.28
  5. Step 5: Solve for x
    x = 147,206.28/564.14
  6. Step 6: Final answer
    x = 260.94

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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.