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Finding the Fourth Proportional to 1,243.46, 1,713.08 and 869.78

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Solution

The fourth proportional to 1,243.46, 1,713.08 and 869.78 is: 1,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.46 : 1,713.08 = 869.78 : x
  2. Step 2: Convert to fraction form
    1,243.46/1,713.08 = 869.78/x
  3. Step 3: Cross multiply
    1,243.46x = 1,713.08 × 869.78
  4. Step 4: Simplify right side
    1,243.46x = 1,490,002.72
  5. Step 5: Solve for x
    x = 1,490,002.72/1,243.46
  6. Step 6: Final answer
    x = 1,198.27

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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.