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Finding the Fourth Proportional to 911.40, 1,360.46 and 843.78

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Solution

The fourth proportional to 911.40, 1,360.46 and 843.78 is: 1,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.40 : 1,360.46 = 843.78 : x
  2. Step 2: Convert to fraction form
    911.40/1,360.46 = 843.78/x
  3. Step 3: Cross multiply
    911.40x = 1,360.46 × 843.78
  4. Step 4: Simplify right side
    911.40x = 1,147,928.94
  5. Step 5: Solve for x
    x = 1,147,928.94/911.40
  6. Step 6: Final answer
    x = 1,259.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.