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Finding the Fourth Proportional to 1,226.70, 1,840.38 and 446.78

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Solution

The fourth proportional to 1,226.70, 1,840.38 and 446.78 is: 670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.70 : 1,840.38 = 446.78 : x
  2. Step 2: Convert to fraction form
    1,226.70/1,840.38 = 446.78/x
  3. Step 3: Cross multiply
    1,226.70x = 1,840.38 × 446.78
  4. Step 4: Simplify right side
    1,226.70x = 822,233.54
  5. Step 5: Solve for x
    x = 822,233.54/1,226.70
  6. Step 6: Final answer
    x = 670.28

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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.