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Finding the Fourth Proportional to 698.09, 969.83 and 691.75

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Solution

The fourth proportional to 698.09, 969.83 and 691.75 is: 961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.09 : 969.83 = 691.75 : x
  2. Step 2: Convert to fraction form
    698.09/969.83 = 691.75/x
  3. Step 3: Cross multiply
    698.09x = 969.83 × 691.75
  4. Step 4: Simplify right side
    698.09x = 670,879.90
  5. Step 5: Solve for x
    x = 670,879.90/698.09
  6. Step 6: Final answer
    x = 961.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.