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Finding the Fourth Proportional to 711.92, 982.46 and 397.19

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Solution

The fourth proportional to 711.92, 982.46 and 397.19 is: 548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 982.46 = 397.19 : x
  2. Step 2: Convert to fraction form
    711.92/982.46 = 397.19/x
  3. Step 3: Cross multiply
    711.92x = 982.46 × 397.19
  4. Step 4: Simplify right side
    711.92x = 390,223.29
  5. Step 5: Solve for x
    x = 390,223.29/711.92
  6. Step 6: Final answer
    x = 548.13

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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.