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Finding the Fourth Proportional to 711.74, 982.22 and 397.03

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Solution

The fourth proportional to 711.74, 982.22 and 397.03 is: 547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.74 : 982.22 = 397.03 : x
  2. Step 2: Convert to fraction form
    711.74/982.22 = 397.03/x
  3. Step 3: Cross multiply
    711.74x = 982.22 × 397.03
  4. Step 4: Simplify right side
    711.74x = 389,966.37
  5. Step 5: Solve for x
    x = 389,966.37/711.74
  6. Step 6: Final answer
    x = 547.90

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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.