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Finding the Fourth Proportional to 606.28, 836.42 and 344.24

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Solution

The fourth proportional to 606.28, 836.42 and 344.24 is: 474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.28 : 836.42 = 344.24 : x
  2. Step 2: Convert to fraction form
    606.28/836.42 = 344.24/x
  3. Step 3: Cross multiply
    606.28x = 836.42 × 344.24
  4. Step 4: Simplify right side
    606.28x = 287,929.22
  5. Step 5: Solve for x
    x = 287,929.22/606.28
  6. Step 6: Final answer
    x = 474.91

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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.