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Finding the Fourth Proportional to 606.56, 837.37 and 408.43

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Solution

The fourth proportional to 606.56, 837.37 and 408.43 is: 563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.56 : 837.37 = 408.43 : x
  2. Step 2: Convert to fraction form
    606.56/837.37 = 408.43/x
  3. Step 3: Cross multiply
    606.56x = 837.37 × 408.43
  4. Step 4: Simplify right side
    606.56x = 342,010.37
  5. Step 5: Solve for x
    x = 342,010.37/606.56
  6. Step 6: Final answer
    x = 563.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.