Home / 1,231.03-1,846.15-409.09

Finding the Fourth Proportional to 1,231.03, 1,846.15 and 409.09

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Solution

The fourth proportional to 1,231.03, 1,846.15 and 409.09 is: 613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.03 : 1,846.15 = 409.09 : x
  2. Step 2: Convert to fraction form
    1,231.03/1,846.15 = 409.09/x
  3. Step 3: Cross multiply
    1,231.03x = 1,846.15 × 409.09
  4. Step 4: Simplify right side
    1,231.03x = 755,241.50
  5. Step 5: Solve for x
    x = 755,241.50/1,231.03
  6. Step 6: Final answer
    x = 613.50

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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.