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Finding the Fourth Proportional to 1,998.59, 2,998.28 and 682.22

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Solution

The fourth proportional to 1,998.59, 2,998.28 and 682.22 is: 1,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.59 : 2,998.28 = 682.22 : x
  2. Step 2: Convert to fraction form
    1,998.59/2,998.28 = 682.22/x
  3. Step 3: Cross multiply
    1,998.59x = 2,998.28 × 682.22
  4. Step 4: Simplify right side
    1,998.59x = 2,045,495.78
  5. Step 5: Solve for x
    x = 2,045,495.78/1,998.59
  6. Step 6: Final answer
    x = 1,023.47

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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.