Home / 1,226.66-1,838.83-733.20

Finding the Fourth Proportional to 1,226.66, 1,838.83 and 733.20

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Solution

The fourth proportional to 1,226.66, 1,838.83 and 733.20 is: 1,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.66 : 1,838.83 = 733.20 : x
  2. Step 2: Convert to fraction form
    1,226.66/1,838.83 = 733.20/x
  3. Step 3: Cross multiply
    1,226.66x = 1,838.83 × 733.20
  4. Step 4: Simplify right side
    1,226.66x = 1,348,226.49
  5. Step 5: Solve for x
    x = 1,348,226.49/1,226.66
  6. Step 6: Final answer
    x = 1,099.11

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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.