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Finding the Fourth Proportional to 1,067.79, 1,601.43 and 512.16

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Solution

The fourth proportional to 1,067.79, 1,601.43 and 512.16 is: 768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.79 : 1,601.43 = 512.16 : x
  2. Step 2: Convert to fraction form
    1,067.79/1,601.43 = 512.16/x
  3. Step 3: Cross multiply
    1,067.79x = 1,601.43 × 512.16
  4. Step 4: Simplify right side
    1,067.79x = 820,188.39
  5. Step 5: Solve for x
    x = 820,188.39/1,067.79
  6. Step 6: Final answer
    x = 768.12

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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.