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Finding the Fourth Proportional to 1,241.49, 1,861.42 and 693.73

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Solution

The fourth proportional to 1,241.49, 1,861.42 and 693.73 is: 1,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.49 : 1,861.42 = 693.73 : x
  2. Step 2: Convert to fraction form
    1,241.49/1,861.42 = 693.73/x
  3. Step 3: Cross multiply
    1,241.49x = 1,861.42 × 693.73
  4. Step 4: Simplify right side
    1,241.49x = 1,291,322.90
  5. Step 5: Solve for x
    x = 1,291,322.90/1,241.49
  6. Step 6: Final answer
    x = 1,040.14

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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.