Home / 1,112.08-1,668.31-409.34

Finding the Fourth Proportional to 1,112.08, 1,668.31 and 409.34

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Solution

The fourth proportional to 1,112.08, 1,668.31 and 409.34 is: 614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.08 : 1,668.31 = 409.34 : x
  2. Step 2: Convert to fraction form
    1,112.08/1,668.31 = 409.34/x
  3. Step 3: Cross multiply
    1,112.08x = 1,668.31 × 409.34
  4. Step 4: Simplify right side
    1,112.08x = 682,896.65
  5. Step 5: Solve for x
    x = 682,896.65/1,112.08
  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.