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Finding the Fourth Proportional to 1,067.20, 1,601.22 and 418

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Solution

The fourth proportional to 1,067.20, 1,601.22 and 418 is: 627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.20 : 1,601.22 = 418 : x
  2. Step 2: Convert to fraction form
    1,067.20/1,601.22 = 418/x
  3. Step 3: Cross multiply
    1,067.20x = 1,601.22 × 418
  4. Step 4: Simplify right side
    1,067.20x = 669,309.96
  5. Step 5: Solve for x
    x = 669,309.96/1,067.20
  6. Step 6: Final answer
    x = 627.16

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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.