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Finding the Fourth Proportional to 1,241.75, 1,862.82 and 419.83

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Solution

The fourth proportional to 1,241.75, 1,862.82 and 419.83 is: 629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.75 : 1,862.82 = 419.83 : x
  2. Step 2: Convert to fraction form
    1,241.75/1,862.82 = 419.83/x
  3. Step 3: Cross multiply
    1,241.75x = 1,862.82 × 419.83
  4. Step 4: Simplify right side
    1,241.75x = 782,067.72
  5. Step 5: Solve for x
    x = 782,067.72/1,241.75
  6. Step 6: Final answer
    x = 629.81

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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.