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Finding the Fourth Proportional to 797.29, 1,193.77 and 411.73

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Solution

The fourth proportional to 797.29, 1,193.77 and 411.73 is: 616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.29 : 1,193.77 = 411.73 : x
  2. Step 2: Convert to fraction form
    797.29/1,193.77 = 411.73/x
  3. Step 3: Cross multiply
    797.29x = 1,193.77 × 411.73
  4. Step 4: Simplify right side
    797.29x = 491,508.45
  5. Step 5: Solve for x
    x = 491,508.45/797.29
  6. Step 6: Final answer
    x = 616.48

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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.