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Finding the Fourth Proportional to 911.71, 1,257.07 and 631.72

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Solution

The fourth proportional to 911.71, 1,257.07 and 631.72 is: 871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.71 : 1,257.07 = 631.72 : x
  2. Step 2: Convert to fraction form
    911.71/1,257.07 = 631.72/x
  3. Step 3: Cross multiply
    911.71x = 1,257.07 × 631.72
  4. Step 4: Simplify right side
    911.71x = 794,120.97
  5. Step 5: Solve for x
    x = 794,120.97/911.71
  6. Step 6: Final answer
    x = 871.03

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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.