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Finding the Fourth Proportional to 1,517.96, 2,276.94 and 422.33

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Solution

The fourth proportional to 1,517.96, 2,276.94 and 422.33 is: 633.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.96 : 2,276.94 = 422.33 : x
  2. Step 2: Convert to fraction form
    1,517.96/2,276.94 = 422.33/x
  3. Step 3: Cross multiply
    1,517.96x = 2,276.94 × 422.33
  4. Step 4: Simplify right side
    1,517.96x = 961,608.69
  5. Step 5: Solve for x
    x = 961,608.69/1,517.96
  6. Step 6: Final answer
    x = 633.49

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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.