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Finding the Fourth Proportional to 564.27, 842.32 and 487.73

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Solution

The fourth proportional to 564.27, 842.32 and 487.73 is: 728.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.27 : 842.32 = 487.73 : x
  2. Step 2: Convert to fraction form
    564.27/842.32 = 487.73/x
  3. Step 3: Cross multiply
    564.27x = 842.32 × 487.73
  4. Step 4: Simplify right side
    564.27x = 410,819.30
  5. Step 5: Solve for x
    x = 410,819.30/564.27
  6. Step 6: Final answer
    x = 728.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.