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Finding the Fourth Proportional to 869, 1,198.14 and 711.44

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Solution

The fourth proportional to 869, 1,198.14 and 711.44 is: 980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    869 : 1,198.14 = 711.44 : x
  2. Step 2: Convert to fraction form
    869/1,198.14 = 711.44/x
  3. Step 3: Cross multiply
    869x = 1,198.14 × 711.44
  4. Step 4: Simplify right side
    869x = 852,404.72
  5. Step 5: Solve for x
    x = 852,404.72/869
  6. Step 6: Final answer
    x = 980.90

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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.