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Finding the Fourth Proportional to 722, 996.12 and 459.80

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Solution

The fourth proportional to 722, 996.12 and 459.80 is: 634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    722 : 996.12 = 459.80 : x
  2. Step 2: Convert to fraction form
    722/996.12 = 459.80/x
  3. Step 3: Cross multiply
    722x = 996.12 × 459.80
  4. Step 4: Simplify right side
    722x = 458,015.98
  5. Step 5: Solve for x
    x = 458,015.98/722
  6. Step 6: Final answer
    x = 634.37

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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.