Home / 1,218.68-1,828.26-449.24

Finding the Fourth Proportional to 1,218.68, 1,828.26 and 449.24

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Solution

The fourth proportional to 1,218.68, 1,828.26 and 449.24 is: 673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.68 : 1,828.26 = 449.24 : x
  2. Step 2: Convert to fraction form
    1,218.68/1,828.26 = 449.24/x
  3. Step 3: Cross multiply
    1,218.68x = 1,828.26 × 449.24
  4. Step 4: Simplify right side
    1,218.68x = 821,327.52
  5. Step 5: Solve for x
    x = 821,327.52/1,218.68
  6. Step 6: Final answer
    x = 673.95

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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.