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Finding the Fourth Proportional to 1,067.67, 1,603.32 and 961.95

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Solution

The fourth proportional to 1,067.67, 1,603.32 and 961.95 is: 1,444.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.67 : 1,603.32 = 961.95 : x
  2. Step 2: Convert to fraction form
    1,067.67/1,603.32 = 961.95/x
  3. Step 3: Cross multiply
    1,067.67x = 1,603.32 × 961.95
  4. Step 4: Simplify right side
    1,067.67x = 1,542,313.67
  5. Step 5: Solve for x
    x = 1,542,313.67/1,067.67
  6. Step 6: Final answer
    x = 1,444.56

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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.