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Finding the Fourth Proportional to 1,366.37, 2,049.20 and 441.45

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Solution

The fourth proportional to 1,366.37, 2,049.20 and 441.45 is: 662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.37 : 2,049.20 = 441.45 : x
  2. Step 2: Convert to fraction form
    1,366.37/2,049.20 = 441.45/x
  3. Step 3: Cross multiply
    1,366.37x = 2,049.20 × 441.45
  4. Step 4: Simplify right side
    1,366.37x = 904,618.79
  5. Step 5: Solve for x
    x = 904,618.79/1,366.37
  6. Step 6: Final answer
    x = 662.06

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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.