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Finding the Fourth Proportional to 1,369.44, 2,054.24 and 445.12

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Solution

The fourth proportional to 1,369.44, 2,054.24 and 445.12 is: 667.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.44 : 2,054.24 = 445.12 : x
  2. Step 2: Convert to fraction form
    1,369.44/2,054.24 = 445.12/x
  3. Step 3: Cross multiply
    1,369.44x = 2,054.24 × 445.12
  4. Step 4: Simplify right side
    1,369.44x = 914,383.31
  5. Step 5: Solve for x
    x = 914,383.31/1,369.44
  6. Step 6: Final answer
    x = 667.71

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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.