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Finding the Fourth Proportional to 722.78, 996.54 and 489.50

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Solution

The fourth proportional to 722.78, 996.54 and 489.50 is: 674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.78 : 996.54 = 489.50 : x
  2. Step 2: Convert to fraction form
    722.78/996.54 = 489.50/x
  3. Step 3: Cross multiply
    722.78x = 996.54 × 489.50
  4. Step 4: Simplify right side
    722.78x = 487,806.33
  5. Step 5: Solve for x
    x = 487,806.33/722.78
  6. Step 6: Final answer
    x = 674.90

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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.