Home / 1,228.20-1,842.43-406.15

Finding the Fourth Proportional to 1,228.20, 1,842.43 and 406.15

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Solution

The fourth proportional to 1,228.20, 1,842.43 and 406.15 is: 609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.20 : 1,842.43 = 406.15 : x
  2. Step 2: Convert to fraction form
    1,228.20/1,842.43 = 406.15/x
  3. Step 3: Cross multiply
    1,228.20x = 1,842.43 × 406.15
  4. Step 4: Simplify right side
    1,228.20x = 748,302.94
  5. Step 5: Solve for x
    x = 748,302.94/1,228.20
  6. Step 6: Final answer
    x = 609.27

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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.