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Finding the Fourth Proportional to 1,067.22, 1,599.92 and 408.72

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Solution

The fourth proportional to 1,067.22, 1,599.92 and 408.72 is: 612.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.22 : 1,599.92 = 408.72 : x
  2. Step 2: Convert to fraction form
    1,067.22/1,599.92 = 408.72/x
  3. Step 3: Cross multiply
    1,067.22x = 1,599.92 × 408.72
  4. Step 4: Simplify right side
    1,067.22x = 653,924.79
  5. Step 5: Solve for x
    x = 653,924.79/1,067.22
  6. Step 6: Final answer
    x = 612.74

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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.