Home / 1,222.76-1,834.25-442.73

Finding the Fourth Proportional to 1,222.76, 1,834.25 and 442.73

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Solution

The fourth proportional to 1,222.76, 1,834.25 and 442.73 is: 664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.76 : 1,834.25 = 442.73 : x
  2. Step 2: Convert to fraction form
    1,222.76/1,834.25 = 442.73/x
  3. Step 3: Cross multiply
    1,222.76x = 1,834.25 × 442.73
  4. Step 4: Simplify right side
    1,222.76x = 812,079.87
  5. Step 5: Solve for x
    x = 812,079.87/1,222.76
  6. Step 6: Final answer
    x = 664.14

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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.