Home / 1,424.23-2,136.20-499.82

Finding the Fourth Proportional to 1,424.23, 2,136.20 and 499.82

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Solution

The fourth proportional to 1,424.23, 2,136.20 and 499.82 is: 749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.23 : 2,136.20 = 499.82 : x
  2. Step 2: Convert to fraction form
    1,424.23/2,136.20 = 499.82/x
  3. Step 3: Cross multiply
    1,424.23x = 2,136.20 × 499.82
  4. Step 4: Simplify right side
    1,424.23x = 1,067,715.73
  5. Step 5: Solve for x
    x = 1,067,715.73/1,424.23
  6. Step 6: Final answer
    x = 749.68

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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.