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Finding the Fourth Proportional to 1,240.38, 1,860.48 and 695.97

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Solution

The fourth proportional to 1,240.38, 1,860.48 and 695.97 is: 1,043.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.38 : 1,860.48 = 695.97 : x
  2. Step 2: Convert to fraction form
    1,240.38/1,860.48 = 695.97/x
  3. Step 3: Cross multiply
    1,240.38x = 1,860.48 × 695.97
  4. Step 4: Simplify right side
    1,240.38x = 1,294,838.27
  5. Step 5: Solve for x
    x = 1,294,838.27/1,240.38
  6. Step 6: Final answer
    x = 1,043.90

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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.