Home / 1,378.27-2,067.40-512.58

Finding the Fourth Proportional to 1,378.27, 2,067.40 and 512.58

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Solution

The fourth proportional to 1,378.27, 2,067.40 and 512.58 is: 768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.27 : 2,067.40 = 512.58 : x
  2. Step 2: Convert to fraction form
    1,378.27/2,067.40 = 512.58/x
  3. Step 3: Cross multiply
    1,378.27x = 2,067.40 × 512.58
  4. Step 4: Simplify right side
    1,378.27x = 1,059,703.21
  5. Step 5: Solve for x
    x = 1,059,703.21/1,378.27
  6. Step 6: Final answer
    x = 768.87

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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.