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Finding the Fourth Proportional to 711.81, 982.31 and 401.25

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Solution

The fourth proportional to 711.81, 982.31 and 401.25 is: 553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.81 : 982.31 = 401.25 : x
  2. Step 2: Convert to fraction form
    711.81/982.31 = 401.25/x
  3. Step 3: Cross multiply
    711.81x = 982.31 × 401.25
  4. Step 4: Simplify right side
    711.81x = 394,149.88
  5. Step 5: Solve for x
    x = 394,149.88/711.81
  6. Step 6: Final answer
    x = 553.73

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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.