Home / 1,223.16-1,834.78-443.32

Finding the Fourth Proportional to 1,223.16, 1,834.78 and 443.32

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Solution

The fourth proportional to 1,223.16, 1,834.78 and 443.32 is: 664.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.16 : 1,834.78 = 443.32 : x
  2. Step 2: Convert to fraction form
    1,223.16/1,834.78 = 443.32/x
  3. Step 3: Cross multiply
    1,223.16x = 1,834.78 × 443.32
  4. Step 4: Simplify right side
    1,223.16x = 813,394.67
  5. Step 5: Solve for x
    x = 813,394.67/1,223.16
  6. Step 6: Final answer
    x = 664.99

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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.