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Finding the Fourth Proportional to 2,270.37, 3,405.94 and 809.18

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Solution

The fourth proportional to 2,270.37, 3,405.94 and 809.18 is: 1,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.37 : 3,405.94 = 809.18 : x
  2. Step 2: Convert to fraction form
    2,270.37/3,405.94 = 809.18/x
  3. Step 3: Cross multiply
    2,270.37x = 3,405.94 × 809.18
  4. Step 4: Simplify right side
    2,270.37x = 2,756,025.02
  5. Step 5: Solve for x
    x = 2,756,025.02/2,270.37
  6. Step 6: Final answer
    x = 1,213.91

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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.