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Finding the Fourth Proportional to 911.97, 1,365.75 and 896.85

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Solution

The fourth proportional to 911.97, 1,365.75 and 896.85 is: 1,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.97 : 1,365.75 = 896.85 : x
  2. Step 2: Convert to fraction form
    911.97/1,365.75 = 896.85/x
  3. Step 3: Cross multiply
    911.97x = 1,365.75 × 896.85
  4. Step 4: Simplify right side
    911.97x = 1,224,872.89
  5. Step 5: Solve for x
    x = 1,224,872.89/911.97
  6. Step 6: Final answer
    x = 1,343.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.