Home / 1,226.08-1,838.67-404.16

Finding the Fourth Proportional to 1,226.08, 1,838.67 and 404.16

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Solution

The fourth proportional to 1,226.08, 1,838.67 and 404.16 is: 606.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.08 : 1,838.67 = 404.16 : x
  2. Step 2: Convert to fraction form
    1,226.08/1,838.67 = 404.16/x
  3. Step 3: Cross multiply
    1,226.08x = 1,838.67 × 404.16
  4. Step 4: Simplify right side
    1,226.08x = 743,116.87
  5. Step 5: Solve for x
    x = 743,116.87/1,226.08
  6. Step 6: Final answer
    x = 606.09

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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.