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Finding the Fourth Proportional to 1,242.81, 1,713.02 and 869.20

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Solution

The fourth proportional to 1,242.81, 1,713.02 and 869.20 is: 1,198.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.81 : 1,713.02 = 869.20 : x
  2. Step 2: Convert to fraction form
    1,242.81/1,713.02 = 869.20/x
  3. Step 3: Cross multiply
    1,242.81x = 1,713.02 × 869.20
  4. Step 4: Simplify right side
    1,242.81x = 1,488,948.36
  5. Step 5: Solve for x
    x = 1,488,948.36/1,242.81
  6. Step 6: Final answer
    x = 1,198.05

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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.