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Finding the Fourth Proportional to 1,067.47, 1,600.64 and 481.96

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Solution

The fourth proportional to 1,067.47, 1,600.64 and 481.96 is: 722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.47 : 1,600.64 = 481.96 : x
  2. Step 2: Convert to fraction form
    1,067.47/1,600.64 = 481.96/x
  3. Step 3: Cross multiply
    1,067.47x = 1,600.64 × 481.96
  4. Step 4: Simplify right side
    1,067.47x = 771,434.04
  5. Step 5: Solve for x
    x = 771,434.04/1,067.47
  6. Step 6: Final answer
    x = 722.68

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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.