Home / 1,218.80-1,827.10-449.12

Finding the Fourth Proportional to 1,218.80, 1,827.10 and 449.12

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Solution

The fourth proportional to 1,218.80, 1,827.10 and 449.12 is: 673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.80 : 1,827.10 = 449.12 : x
  2. Step 2: Convert to fraction form
    1,218.80/1,827.10 = 449.12/x
  3. Step 3: Cross multiply
    1,218.80x = 1,827.10 × 449.12
  4. Step 4: Simplify right side
    1,218.80x = 820,587.15
  5. Step 5: Solve for x
    x = 820,587.15/1,218.80
  6. Step 6: Final answer
    x = 673.27

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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.