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Finding the Fourth Proportional to 606.11, 836.41 and 354.08

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Solution

The fourth proportional to 606.11, 836.41 and 354.08 is: 488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.11 : 836.41 = 354.08 : x
  2. Step 2: Convert to fraction form
    606.11/836.41 = 354.08/x
  3. Step 3: Cross multiply
    606.11x = 836.41 × 354.08
  4. Step 4: Simplify right side
    606.11x = 296,156.05
  5. Step 5: Solve for x
    x = 296,156.05/606.11
  6. Step 6: Final answer
    x = 488.62

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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.