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Finding the Fourth Proportional to 1,243.78, 1,715.46 and 801.73

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Solution

The fourth proportional to 1,243.78, 1,715.46 and 801.73 is: 1,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.78 : 1,715.46 = 801.73 : x
  2. Step 2: Convert to fraction form
    1,243.78/1,715.46 = 801.73/x
  3. Step 3: Cross multiply
    1,243.78x = 1,715.46 × 801.73
  4. Step 4: Simplify right side
    1,243.78x = 1,375,335.75
  5. Step 5: Solve for x
    x = 1,375,335.75/1,243.78
  6. Step 6: Final answer
    x = 1,105.77

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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.