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Finding the Fourth Proportional to 1,242.04, 1,863.39 and 694.61

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Solution

The fourth proportional to 1,242.04, 1,863.39 and 694.61 is: 1,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.04 : 1,863.39 = 694.61 : x
  2. Step 2: Convert to fraction form
    1,242.04/1,863.39 = 694.61/x
  3. Step 3: Cross multiply
    1,242.04x = 1,863.39 × 694.61
  4. Step 4: Simplify right side
    1,242.04x = 1,294,329.33
  5. Step 5: Solve for x
    x = 1,294,329.33/1,242.04
  6. Step 6: Final answer
    x = 1,042.10

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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.