Home / 1,228.08-1,842.15-406.43

Finding the Fourth Proportional to 1,228.08, 1,842.15 and 406.43

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Solution

The fourth proportional to 1,228.08, 1,842.15 and 406.43 is: 609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.08 : 1,842.15 = 406.43 : x
  2. Step 2: Convert to fraction form
    1,228.08/1,842.15 = 406.43/x
  3. Step 3: Cross multiply
    1,228.08x = 1,842.15 × 406.43
  4. Step 4: Simplify right side
    1,228.08x = 748,695.81
  5. Step 5: Solve for x
    x = 748,695.81/1,228.08
  6. Step 6: Final answer
    x = 609.65

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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.