Home / 1,226.27-1,838.79-404.02

Finding the Fourth Proportional to 1,226.27, 1,838.79 and 404.02

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Solution

The fourth proportional to 1,226.27, 1,838.79 and 404.02 is: 605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.27 : 1,838.79 = 404.02 : x
  2. Step 2: Convert to fraction form
    1,226.27/1,838.79 = 404.02/x
  3. Step 3: Cross multiply
    1,226.27x = 1,838.79 × 404.02
  4. Step 4: Simplify right side
    1,226.27x = 742,907.94
  5. Step 5: Solve for x
    x = 742,907.94/1,226.27
  6. Step 6: Final answer
    x = 605.83

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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.