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Finding the Fourth Proportional to 797.73, 1,196.51 and 249.61

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Solution

The fourth proportional to 797.73, 1,196.51 and 249.61 is: 374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.73 : 1,196.51 = 249.61 : x
  2. Step 2: Convert to fraction form
    797.73/1,196.51 = 249.61/x
  3. Step 3: Cross multiply
    797.73x = 1,196.51 × 249.61
  4. Step 4: Simplify right side
    797.73x = 298,660.86
  5. Step 5: Solve for x
    x = 298,660.86/797.73
  6. Step 6: Final answer
    x = 374.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.