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Finding the Fourth Proportional to 1,241.60, 1,861.31 and 419.65

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Solution

The fourth proportional to 1,241.60, 1,861.31 and 419.65 is: 629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.60 : 1,861.31 = 419.65 : x
  2. Step 2: Convert to fraction form
    1,241.60/1,861.31 = 419.65/x
  3. Step 3: Cross multiply
    1,241.60x = 1,861.31 × 419.65
  4. Step 4: Simplify right side
    1,241.60x = 781,095.14
  5. Step 5: Solve for x
    x = 781,095.14/1,241.60
  6. Step 6: Final answer
    x = 629.11

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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.