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Finding the Fourth Proportional to 725.82, 996.96 and 711.99

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Solution

The fourth proportional to 725.82, 996.96 and 711.99 is: 977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.82 : 996.96 = 711.99 : x
  2. Step 2: Convert to fraction form
    725.82/996.96 = 711.99/x
  3. Step 3: Cross multiply
    725.82x = 996.96 × 711.99
  4. Step 4: Simplify right side
    725.82x = 709,825.55
  5. Step 5: Solve for x
    x = 709,825.55/725.82
  6. Step 6: Final answer
    x = 977.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.