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Finding the Fourth Proportional to 1,067.20, 1,600.80 and 581.20

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Solution

The fourth proportional to 1,067.20, 1,600.80 and 581.20 is: 871.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.20 : 1,600.80 = 581.20 : x
  2. Step 2: Convert to fraction form
    1,067.20/1,600.80 = 581.20/x
  3. Step 3: Cross multiply
    1,067.20x = 1,600.80 × 581.20
  4. Step 4: Simplify right side
    1,067.20x = 930,384.96
  5. Step 5: Solve for x
    x = 930,384.96/1,067.20
  6. Step 6: Final answer
    x = 871.80

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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.