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Finding the Fourth Proportional to 839.27, 1,257.63 and 427.79

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Solution

The fourth proportional to 839.27, 1,257.63 and 427.79 is: 641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.27 : 1,257.63 = 427.79 : x
  2. Step 2: Convert to fraction form
    839.27/1,257.63 = 427.79/x
  3. Step 3: Cross multiply
    839.27x = 1,257.63 × 427.79
  4. Step 4: Simplify right side
    839.27x = 538,001.54
  5. Step 5: Solve for x
    x = 538,001.54/839.27
  6. Step 6: Final answer
    x = 641.04

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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.