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Finding the Fourth Proportional to 711.86, 982.27 and 397.11

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Solution

The fourth proportional to 711.86, 982.27 and 397.11 is: 547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.86 : 982.27 = 397.11 : x
  2. Step 2: Convert to fraction form
    711.86/982.27 = 397.11/x
  3. Step 3: Cross multiply
    711.86x = 982.27 × 397.11
  4. Step 4: Simplify right side
    711.86x = 390,069.24
  5. Step 5: Solve for x
    x = 390,069.24/711.86
  6. Step 6: Final answer
    x = 547.96

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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.