Home / 1,231.14-1,846.32-409.20

Finding the Fourth Proportional to 1,231.14, 1,846.32 and 409.20

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Solution

The fourth proportional to 1,231.14, 1,846.32 and 409.20 is: 613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.14 : 1,846.32 = 409.20 : x
  2. Step 2: Convert to fraction form
    1,231.14/1,846.32 = 409.20/x
  3. Step 3: Cross multiply
    1,231.14x = 1,846.32 × 409.20
  4. Step 4: Simplify right side
    1,231.14x = 755,514.14
  5. Step 5: Solve for x
    x = 755,514.14/1,231.14
  6. Step 6: Final answer
    x = 613.67

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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.