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Finding the Fourth Proportional to 711.73, 982.26 and 396.99

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Solution

The fourth proportional to 711.73, 982.26 and 396.99 is: 547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.73 : 982.26 = 396.99 : x
  2. Step 2: Convert to fraction form
    711.73/982.26 = 396.99/x
  3. Step 3: Cross multiply
    711.73x = 982.26 × 396.99
  4. Step 4: Simplify right side
    711.73x = 389,947.40
  5. Step 5: Solve for x
    x = 389,947.40/711.73
  6. Step 6: Final answer
    x = 547.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.