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Finding the Fourth Proportional to 722.39, 996.49 and 489.11

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Solution

The fourth proportional to 722.39, 996.49 and 489.11 is: 674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.39 : 996.49 = 489.11 : x
  2. Step 2: Convert to fraction form
    722.39/996.49 = 489.11/x
  3. Step 3: Cross multiply
    722.39x = 996.49 × 489.11
  4. Step 4: Simplify right side
    722.39x = 487,393.22
  5. Step 5: Solve for x
    x = 487,393.22/722.39
  6. Step 6: Final answer
    x = 674.70

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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.