Home / 1,378.12-2,067.14-404.24

Finding the Fourth Proportional to 1,378.12, 2,067.14 and 404.24

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Solution

The fourth proportional to 1,378.12, 2,067.14 and 404.24 is: 606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.12 : 2,067.14 = 404.24 : x
  2. Step 2: Convert to fraction form
    1,378.12/2,067.14 = 404.24/x
  3. Step 3: Cross multiply
    1,378.12x = 2,067.14 × 404.24
  4. Step 4: Simplify right side
    1,378.12x = 835,620.67
  5. Step 5: Solve for x
    x = 835,620.67/1,378.12
  6. Step 6: Final answer
    x = 606.35

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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.