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Finding the Fourth Proportional to 1,241.75, 1,862.82 and 419.84

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Solution

The fourth proportional to 1,241.75, 1,862.82 and 419.84 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.75 : 1,862.82 = 419.84 : x
  2. Step 2: Convert to fraction form
    1,241.75/1,862.82 = 419.84/x
  3. Step 3: Cross multiply
    1,241.75x = 1,862.82 × 419.84
  4. Step 4: Simplify right side
    1,241.75x = 782,077.03
  5. Step 5: Solve for x
    x = 782,077.03/1,241.75
  6. Step 6: Final answer
    x = 629.82

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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.