Home / 1,226.13-1,838.80-404.21

Finding the Fourth Proportional to 1,226.13, 1,838.80 and 404.21

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Solution

The fourth proportional to 1,226.13, 1,838.80 and 404.21 is: 606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.13 : 1,838.80 = 404.21 : x
  2. Step 2: Convert to fraction form
    1,226.13/1,838.80 = 404.21/x
  3. Step 3: Cross multiply
    1,226.13x = 1,838.80 × 404.21
  4. Step 4: Simplify right side
    1,226.13x = 743,261.35
  5. Step 5: Solve for x
    x = 743,261.35/1,226.13
  6. Step 6: Final answer
    x = 606.18

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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.