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Finding the Fourth Proportional to 1,241.80, 1,865.98 and 754.92

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Solution

The fourth proportional to 1,241.80, 1,865.98 and 754.92 is: 1,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.80 : 1,865.98 = 754.92 : x
  2. Step 2: Convert to fraction form
    1,241.80/1,865.98 = 754.92/x
  3. Step 3: Cross multiply
    1,241.80x = 1,865.98 × 754.92
  4. Step 4: Simplify right side
    1,241.80x = 1,408,665.62
  5. Step 5: Solve for x
    x = 1,408,665.62/1,241.80
  6. Step 6: Final answer
    x = 1,134.37

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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.