Home / 1,377.53-2,067.74-822.23

Finding the Fourth Proportional to 1,377.53, 2,067.74 and 822.23

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Solution

The fourth proportional to 1,377.53, 2,067.74 and 822.23 is: 1,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.53 : 2,067.74 = 822.23 : x
  2. Step 2: Convert to fraction form
    1,377.53/2,067.74 = 822.23/x
  3. Step 3: Cross multiply
    1,377.53x = 2,067.74 × 822.23
  4. Step 4: Simplify right side
    1,377.53x = 1,700,162.67
  5. Step 5: Solve for x
    x = 1,700,162.67/1,377.53
  6. Step 6: Final answer
    x = 1,234.22

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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.