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Finding the Fourth Proportional to 774.16, 1,067.68 and 634.28

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Solution

The fourth proportional to 774.16, 1,067.68 and 634.28 is: 874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.16 : 1,067.68 = 634.28 : x
  2. Step 2: Convert to fraction form
    774.16/1,067.68 = 634.28/x
  3. Step 3: Cross multiply
    774.16x = 1,067.68 × 634.28
  4. Step 4: Simplify right side
    774.16x = 677,209.53
  5. Step 5: Solve for x
    x = 677,209.53/774.16
  6. Step 6: Final answer
    x = 874.77

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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.