Home / 1,424.08-2,135.34-449.92

Finding the Fourth Proportional to 1,424.08, 2,135.34 and 449.92

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Solution

The fourth proportional to 1,424.08, 2,135.34 and 449.92 is: 674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.08 : 2,135.34 = 449.92 : x
  2. Step 2: Convert to fraction form
    1,424.08/2,135.34 = 449.92/x
  3. Step 3: Cross multiply
    1,424.08x = 2,135.34 × 449.92
  4. Step 4: Simplify right side
    1,424.08x = 960,732.17
  5. Step 5: Solve for x
    x = 960,732.17/1,424.08
  6. Step 6: Final answer
    x = 674.63

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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.