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Finding the Fourth Proportional to 1,067.74, 1,600.80 and 547.96

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Solution

The fourth proportional to 1,067.74, 1,600.80 and 547.96 is: 821.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.74 : 1,600.80 = 547.96 : x
  2. Step 2: Convert to fraction form
    1,067.74/1,600.80 = 547.96/x
  3. Step 3: Cross multiply
    1,067.74x = 1,600.80 × 547.96
  4. Step 4: Simplify right side
    1,067.74x = 877,174.37
  5. Step 5: Solve for x
    x = 877,174.37/1,067.74
  6. Step 6: Final answer
    x = 821.52

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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.