Home / 1,378.20-2,067.30-649.20

Finding the Fourth Proportional to 1,378.20, 2,067.30 and 649.20

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Solution

The fourth proportional to 1,378.20, 2,067.30 and 649.20 is: 973.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.20 : 2,067.30 = 649.20 : x
  2. Step 2: Convert to fraction form
    1,378.20/2,067.30 = 649.20/x
  3. Step 3: Cross multiply
    1,378.20x = 2,067.30 × 649.20
  4. Step 4: Simplify right side
    1,378.20x = 1,342,091.16
  5. Step 5: Solve for x
    x = 1,342,091.16/1,378.20
  6. Step 6: Final answer
    x = 973.80

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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.