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Finding the Fourth Proportional to 1,378.58, 2,067.15 and 404.55

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Solution

The fourth proportional to 1,378.58, 2,067.15 and 404.55 is: 606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.58 : 2,067.15 = 404.55 : x
  2. Step 2: Convert to fraction form
    1,378.58/2,067.15 = 404.55/x
  3. Step 3: Cross multiply
    1,378.58x = 2,067.15 × 404.55
  4. Step 4: Simplify right side
    1,378.58x = 836,267.05
  5. Step 5: Solve for x
    x = 836,267.05/1,378.58
  6. Step 6: Final answer
    x = 606.62

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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.