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Finding the Fourth Proportional to 844.96, 1,257.47 and 817.96

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Solution

The fourth proportional to 844.96, 1,257.47 and 817.96 is: 1,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.96 : 1,257.47 = 817.96 : x
  2. Step 2: Convert to fraction form
    844.96/1,257.47 = 817.96/x
  3. Step 3: Cross multiply
    844.96x = 1,257.47 × 817.96
  4. Step 4: Simplify right side
    844.96x = 1,028,560.16
  5. Step 5: Solve for x
    x = 1,028,560.16/844.96
  6. Step 6: Final answer
    x = 1,217.29

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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.