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Finding the Fourth Proportional to 911.49, 1,257.42 and 616.86

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Solution

The fourth proportional to 911.49, 1,257.42 and 616.86 is: 850.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.49 : 1,257.42 = 616.86 : x
  2. Step 2: Convert to fraction form
    911.49/1,257.42 = 616.86/x
  3. Step 3: Cross multiply
    911.49x = 1,257.42 × 616.86
  4. Step 4: Simplify right side
    911.49x = 775,652.10
  5. Step 5: Solve for x
    x = 775,652.10/911.49
  6. Step 6: Final answer
    x = 850.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.