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Finding the Fourth Proportional to 1,067.55, 1,601.41 and 374.20

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Solution

The fourth proportional to 1,067.55, 1,601.41 and 374.20 is: 561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.55 : 1,601.41 = 374.20 : x
  2. Step 2: Convert to fraction form
    1,067.55/1,601.41 = 374.20/x
  3. Step 3: Cross multiply
    1,067.55x = 1,601.41 × 374.20
  4. Step 4: Simplify right side
    1,067.55x = 599,247.62
  5. Step 5: Solve for x
    x = 599,247.62/1,067.55
  6. Step 6: Final answer
    x = 561.33

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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.