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Finding the Fourth Proportional to 982.27, 1,473.12 and 519.82

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Solution

The fourth proportional to 982.27, 1,473.12 and 519.82 is: 779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.27 : 1,473.12 = 519.82 : x
  2. Step 2: Convert to fraction form
    982.27/1,473.12 = 519.82/x
  3. Step 3: Cross multiply
    982.27x = 1,473.12 × 519.82
  4. Step 4: Simplify right side
    982.27x = 765,757.24
  5. Step 5: Solve for x
    x = 765,757.24/982.27
  6. Step 6: Final answer
    x = 779.58

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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.