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Finding the Fourth Proportional to 1,226.33, 1,839.57 and 446.33

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Solution

The fourth proportional to 1,226.33, 1,839.57 and 446.33 is: 669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.33 : 1,839.57 = 446.33 : x
  2. Step 2: Convert to fraction form
    1,226.33/1,839.57 = 446.33/x
  3. Step 3: Cross multiply
    1,226.33x = 1,839.57 × 446.33
  4. Step 4: Simplify right side
    1,226.33x = 821,059.88
  5. Step 5: Solve for x
    x = 821,059.88/1,226.33
  6. Step 6: Final answer
    x = 669.52

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1.5x scale

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.