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Finding the Fourth Proportional to 711.81, 982.31 and 392.78

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Solution

The fourth proportional to 711.81, 982.31 and 392.78 is: 542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.81 : 982.31 = 392.78 : x
  2. Step 2: Convert to fraction form
    711.81/982.31 = 392.78/x
  3. Step 3: Cross multiply
    711.81x = 982.31 × 392.78
  4. Step 4: Simplify right side
    711.81x = 385,832.21
  5. Step 5: Solve for x
    x = 385,832.21/711.81
  6. Step 6: Final answer
    x = 542.04

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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.