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Finding the Fourth Proportional to 2,226.24, 3,338.31 and 665.64

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Solution

The fourth proportional to 2,226.24, 3,338.31 and 665.64 is: 998.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.24 : 3,338.31 = 665.64 : x
  2. Step 2: Convert to fraction form
    2,226.24/3,338.31 = 665.64/x
  3. Step 3: Cross multiply
    2,226.24x = 3,338.31 × 665.64
  4. Step 4: Simplify right side
    2,226.24x = 2,222,112.67
  5. Step 5: Solve for x
    x = 2,222,112.67/2,226.24
  6. Step 6: Final answer
    x = 998.15

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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.