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Finding the Fourth Proportional to 774.12, 1,067.04 and 710.55

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Solution

The fourth proportional to 774.12, 1,067.04 and 710.55 is: 979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.12 : 1,067.04 = 710.55 : x
  2. Step 2: Convert to fraction form
    774.12/1,067.04 = 710.55/x
  3. Step 3: Cross multiply
    774.12x = 1,067.04 × 710.55
  4. Step 4: Simplify right side
    774.12x = 758,185.27
  5. Step 5: Solve for x
    x = 758,185.27/774.12
  6. Step 6: Final answer
    x = 979.42

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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.