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Finding the Fourth Proportional to 711.20, 982.27 and 474.73

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Solution

The fourth proportional to 711.20, 982.27 and 474.73 is: 655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.20 : 982.27 = 474.73 : x
  2. Step 2: Convert to fraction form
    711.20/982.27 = 474.73/x
  3. Step 3: Cross multiply
    711.20x = 982.27 × 474.73
  4. Step 4: Simplify right side
    711.20x = 466,313.04
  5. Step 5: Solve for x
    x = 466,313.04/711.20
  6. Step 6: Final answer
    x = 655.68

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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.