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Finding the Fourth Proportional to 606.37, 836.60 and 357.77

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Solution

The fourth proportional to 606.37, 836.60 and 357.77 is: 493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.37 : 836.60 = 357.77 : x
  2. Step 2: Convert to fraction form
    606.37/836.60 = 357.77/x
  3. Step 3: Cross multiply
    606.37x = 836.60 × 357.77
  4. Step 4: Simplify right side
    606.37x = 299,310.68
  5. Step 5: Solve for x
    x = 299,310.68/606.37
  6. Step 6: Final answer
    x = 493.61

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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.