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Finding the Fourth Proportional to 606.56, 836.85 and 357.96

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Solution

The fourth proportional to 606.56, 836.85 and 357.96 is: 493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.56 : 836.85 = 357.96 : x
  2. Step 2: Convert to fraction form
    606.56/836.85 = 357.96/x
  3. Step 3: Cross multiply
    606.56x = 836.85 × 357.96
  4. Step 4: Simplify right side
    606.56x = 299,560.17
  5. Step 5: Solve for x
    x = 299,560.17/606.56
  6. Step 6: Final answer
    x = 493.87

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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.