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Finding the Fourth Proportional to 774.69, 1,067.33 and 634.82

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Solution

The fourth proportional to 774.69, 1,067.33 and 634.82 is: 874.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.69 : 1,067.33 = 634.82 : x
  2. Step 2: Convert to fraction form
    774.69/1,067.33 = 634.82/x
  3. Step 3: Cross multiply
    774.69x = 1,067.33 × 634.82
  4. Step 4: Simplify right side
    774.69x = 677,553.92
  5. Step 5: Solve for x
    x = 677,553.92/774.69
  6. Step 6: Final answer
    x = 874.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.