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Finding the Fourth Proportional to 1,983.20, 2,974.79 and 684.56

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Solution

The fourth proportional to 1,983.20, 2,974.79 and 684.56 is: 1,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.20 : 2,974.79 = 684.56 : x
  2. Step 2: Convert to fraction form
    1,983.20/2,974.79 = 684.56/x
  3. Step 3: Cross multiply
    1,983.20x = 2,974.79 × 684.56
  4. Step 4: Simplify right side
    1,983.20x = 2,036,431.39
  5. Step 5: Solve for x
    x = 2,036,431.39/1,983.20
  6. Step 6: Final answer
    x = 1,026.84

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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.