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Finding the Fourth Proportional to 1,412.82, 2,118.32 and 682

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Solution

The fourth proportional to 1,412.82, 2,118.32 and 682 is: 1,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.82 : 2,118.32 = 682 : x
  2. Step 2: Convert to fraction form
    1,412.82/2,118.32 = 682/x
  3. Step 3: Cross multiply
    1,412.82x = 2,118.32 × 682
  4. Step 4: Simplify right side
    1,412.82x = 1,444,694.24
  5. Step 5: Solve for x
    x = 1,444,694.24/1,412.82
  6. Step 6: Final answer
    x = 1,022.56

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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.