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Finding the Fourth Proportional to 1,241.57, 1,861.80 and 419.91

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Solution

The fourth proportional to 1,241.57, 1,861.80 and 419.91 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.57 : 1,861.80 = 419.91 : x
  2. Step 2: Convert to fraction form
    1,241.57/1,861.80 = 419.91/x
  3. Step 3: Cross multiply
    1,241.57x = 1,861.80 × 419.91
  4. Step 4: Simplify right side
    1,241.57x = 781,788.44
  5. Step 5: Solve for x
    x = 781,788.44/1,241.57
  6. Step 6: Final answer
    x = 629.68

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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.