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Finding the Fourth Proportional to 1,241.07, 1,861.51 and 419.33

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Solution

The fourth proportional to 1,241.07, 1,861.51 and 419.33 is: 628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.07 : 1,861.51 = 419.33 : x
  2. Step 2: Convert to fraction form
    1,241.07/1,861.51 = 419.33/x
  3. Step 3: Cross multiply
    1,241.07x = 1,861.51 × 419.33
  4. Step 4: Simplify right side
    1,241.07x = 780,586.99
  5. Step 5: Solve for x
    x = 780,586.99/1,241.07
  6. Step 6: Final answer
    x = 628.96

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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.