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Finding the Fourth Proportional to 806.37, 1,208.77 and 344.27

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Solution

The fourth proportional to 806.37, 1,208.77 and 344.27 is: 516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.37 : 1,208.77 = 344.27 : x
  2. Step 2: Convert to fraction form
    806.37/1,208.77 = 344.27/x
  3. Step 3: Cross multiply
    806.37x = 1,208.77 × 344.27
  4. Step 4: Simplify right side
    806.37x = 416,140.55
  5. Step 5: Solve for x
    x = 416,140.55/806.37
  6. Step 6: Final answer
    x = 516.07

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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.