Home / 1,378.09-2,067.17-512.41

Finding the Fourth Proportional to 1,378.09, 2,067.17 and 512.41

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Solution

The fourth proportional to 1,378.09, 2,067.17 and 512.41 is: 768.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.09 : 2,067.17 = 512.41 : x
  2. Step 2: Convert to fraction form
    1,378.09/2,067.17 = 512.41/x
  3. Step 3: Cross multiply
    1,378.09x = 2,067.17 × 512.41
  4. Step 4: Simplify right side
    1,378.09x = 1,059,238.58
  5. Step 5: Solve for x
    x = 1,059,238.58/1,378.09
  6. Step 6: Final answer
    x = 768.63

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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.