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Finding the Fourth Proportional to 722.64, 996.72 and 489.36

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Solution

The fourth proportional to 722.64, 996.72 and 489.36 is: 674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.64 : 996.72 = 489.36 : x
  2. Step 2: Convert to fraction form
    722.64/996.72 = 489.36/x
  3. Step 3: Cross multiply
    722.64x = 996.72 × 489.36
  4. Step 4: Simplify right side
    722.64x = 487,754.90
  5. Step 5: Solve for x
    x = 487,754.90/722.64
  6. Step 6: Final answer
    x = 674.96

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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.