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Finding the Fourth Proportional to 1,241.98, 1,863.25 and 548.84

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Solution

The fourth proportional to 1,241.98, 1,863.25 and 548.84 is: 823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.98 : 1,863.25 = 548.84 : x
  2. Step 2: Convert to fraction form
    1,241.98/1,863.25 = 548.84/x
  3. Step 3: Cross multiply
    1,241.98x = 1,863.25 × 548.84
  4. Step 4: Simplify right side
    1,241.98x = 1,022,626.13
  5. Step 5: Solve for x
    x = 1,022,626.13/1,241.98
  6. Step 6: Final answer
    x = 823.38

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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.