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Finding the Fourth Proportional to 1,274.10, 1,906.44 and 809.70

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Solution

The fourth proportional to 1,274.10, 1,906.44 and 809.70 is: 1,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.10 : 1,906.44 = 809.70 : x
  2. Step 2: Convert to fraction form
    1,274.10/1,906.44 = 809.70/x
  3. Step 3: Cross multiply
    1,274.10x = 1,906.44 × 809.70
  4. Step 4: Simplify right side
    1,274.10x = 1,543,644.47
  5. Step 5: Solve for x
    x = 1,543,644.47/1,274.10
  6. Step 6: Final answer
    x = 1,211.56

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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.