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Finding the Fourth Proportional to 1,231.39, 1,846.81 and 409.44

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Solution

The fourth proportional to 1,231.39, 1,846.81 and 409.44 is: 614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.39 : 1,846.81 = 409.44 : x
  2. Step 2: Convert to fraction form
    1,231.39/1,846.81 = 409.44/x
  3. Step 3: Cross multiply
    1,231.39x = 1,846.81 × 409.44
  4. Step 4: Simplify right side
    1,231.39x = 756,157.89
  5. Step 5: Solve for x
    x = 756,157.89/1,231.39
  6. Step 6: Final answer
    x = 614.07

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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.