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Finding the Fourth Proportional to 1,267.69, 1,901.87 and 682.43

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Solution

The fourth proportional to 1,267.69, 1,901.87 and 682.43 is: 1,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.69 : 1,901.87 = 682.43 : x
  2. Step 2: Convert to fraction form
    1,267.69/1,901.87 = 682.43/x
  3. Step 3: Cross multiply
    1,267.69x = 1,901.87 × 682.43
  4. Step 4: Simplify right side
    1,267.69x = 1,297,893.14
  5. Step 5: Solve for x
    x = 1,297,893.14/1,267.69
  6. Step 6: Final answer
    x = 1,023.83

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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.