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Finding the Fourth Proportional to 839.26, 1,257.56 and 564.34

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Solution

The fourth proportional to 839.26, 1,257.56 and 564.34 is: 845.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.26 : 1,257.56 = 564.34 : x
  2. Step 2: Convert to fraction form
    839.26/1,257.56 = 564.34/x
  3. Step 3: Cross multiply
    839.26x = 1,257.56 × 564.34
  4. Step 4: Simplify right side
    839.26x = 709,691.41
  5. Step 5: Solve for x
    x = 709,691.41/839.26
  6. Step 6: Final answer
    x = 845.62

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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.