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Finding the Fourth Proportional to 911.40, 1,255.14 and 810.96

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Solution

The fourth proportional to 911.40, 1,255.14 and 810.96 is: 1,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.40 : 1,255.14 = 810.96 : x
  2. Step 2: Convert to fraction form
    911.40/1,255.14 = 810.96/x
  3. Step 3: Cross multiply
    911.40x = 1,255.14 × 810.96
  4. Step 4: Simplify right side
    911.40x = 1,017,868.33
  5. Step 5: Solve for x
    x = 1,017,868.33/911.40
  6. Step 6: Final answer
    x = 1,116.82

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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.