Home / 1,442.35-2,163.57-748.09

Finding the Fourth Proportional to 1,442.35, 2,163.57 and 748.09

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Solution

The fourth proportional to 1,442.35, 2,163.57 and 748.09 is: 1,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.35 : 2,163.57 = 748.09 : x
  2. Step 2: Convert to fraction form
    1,442.35/2,163.57 = 748.09/x
  3. Step 3: Cross multiply
    1,442.35x = 2,163.57 × 748.09
  4. Step 4: Simplify right side
    1,442.35x = 1,618,545.08
  5. Step 5: Solve for x
    x = 1,618,545.08/1,442.35
  6. Step 6: Final answer
    x = 1,122.16

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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.