Home / 1,378.26-2,067.48-453.78

Finding the Fourth Proportional to 1,378.26, 2,067.48 and 453.78

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Solution

The fourth proportional to 1,378.26, 2,067.48 and 453.78 is: 680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.26 : 2,067.48 = 453.78 : x
  2. Step 2: Convert to fraction form
    1,378.26/2,067.48 = 453.78/x
  3. Step 3: Cross multiply
    1,378.26x = 2,067.48 × 453.78
  4. Step 4: Simplify right side
    1,378.26x = 938,181.07
  5. Step 5: Solve for x
    x = 938,181.07/1,378.26
  6. Step 6: Final answer
    x = 680.70

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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.