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Finding the Fourth Proportional to 1,394.85, 2,092.61 and 699.79

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Solution

The fourth proportional to 1,394.85, 2,092.61 and 699.79 is: 1,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.85 : 2,092.61 = 699.79 : x
  2. Step 2: Convert to fraction form
    1,394.85/2,092.61 = 699.79/x
  3. Step 3: Cross multiply
    1,394.85x = 2,092.61 × 699.79
  4. Step 4: Simplify right side
    1,394.85x = 1,464,387.55
  5. Step 5: Solve for x
    x = 1,464,387.55/1,394.85
  6. Step 6: Final answer
    x = 1,049.85

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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.