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Finding the Fourth Proportional to 1,378.76, 2,067.44 and 512.46

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Solution

The fourth proportional to 1,378.76, 2,067.44 and 512.46 is: 768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.76 : 2,067.44 = 512.46 : x
  2. Step 2: Convert to fraction form
    1,378.76/2,067.44 = 512.46/x
  3. Step 3: Cross multiply
    1,378.76x = 2,067.44 × 512.46
  4. Step 4: Simplify right side
    1,378.76x = 1,059,477.74
  5. Step 5: Solve for x
    x = 1,059,477.74/1,378.76
  6. Step 6: Final answer
    x = 768.43

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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.