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Finding the Fourth Proportional to 911.11, 1,257.72 and 616.78

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Solution

The fourth proportional to 911.11, 1,257.72 and 616.78 is: 851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.11 : 1,257.72 = 616.78 : x
  2. Step 2: Convert to fraction form
    911.11/1,257.72 = 616.78/x
  3. Step 3: Cross multiply
    911.11x = 1,257.72 × 616.78
  4. Step 4: Simplify right side
    911.11x = 775,736.54
  5. Step 5: Solve for x
    x = 775,736.54/911.11
  6. Step 6: Final answer
    x = 851.42

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1.5x scale

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.