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Finding the Fourth Proportional to 1,378.90, 2,067.80 and 454.42

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Solution

The fourth proportional to 1,378.90, 2,067.80 and 454.42 is: 681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.90 : 2,067.80 = 454.42 : x
  2. Step 2: Convert to fraction form
    1,378.90/2,067.80 = 454.42/x
  3. Step 3: Cross multiply
    1,378.90x = 2,067.80 × 454.42
  4. Step 4: Simplify right side
    1,378.90x = 939,649.68
  5. Step 5: Solve for x
    x = 939,649.68/1,378.90
  6. Step 6: Final answer
    x = 681.45

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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.