Home / 1,226.16-1,838.84-446.06

Finding the Fourth Proportional to 1,226.16, 1,838.84 and 446.06

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Solution

The fourth proportional to 1,226.16, 1,838.84 and 446.06 is: 668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.16 : 1,838.84 = 446.06 : x
  2. Step 2: Convert to fraction form
    1,226.16/1,838.84 = 446.06/x
  3. Step 3: Cross multiply
    1,226.16x = 1,838.84 × 446.06
  4. Step 4: Simplify right side
    1,226.16x = 820,232.97
  5. Step 5: Solve for x
    x = 820,232.97/1,226.16
  6. Step 6: Final answer
    x = 668.94

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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.