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Finding the Fourth Proportional to 982.21, 1,472.79 and 518.82

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Solution

The fourth proportional to 982.21, 1,472.79 and 518.82 is: 777.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.21 : 1,472.79 = 518.82 : x
  2. Step 2: Convert to fraction form
    982.21/1,472.79 = 518.82/x
  3. Step 3: Cross multiply
    982.21x = 1,472.79 × 518.82
  4. Step 4: Simplify right side
    982.21x = 764,112.91
  5. Step 5: Solve for x
    x = 764,112.91/982.21
  6. Step 6: Final answer
    x = 777.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.