Home / 1,223.40-1,834.79-443.17

Finding the Fourth Proportional to 1,223.40, 1,834.79 and 443.17

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Solution

The fourth proportional to 1,223.40, 1,834.79 and 443.17 is: 664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.40 : 1,834.79 = 443.17 : x
  2. Step 2: Convert to fraction form
    1,223.40/1,834.79 = 443.17/x
  3. Step 3: Cross multiply
    1,223.40x = 1,834.79 × 443.17
  4. Step 4: Simplify right side
    1,223.40x = 813,114.71
  5. Step 5: Solve for x
    x = 813,114.71/1,223.40
  6. Step 6: Final answer
    x = 664.64

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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.