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Finding the Fourth Proportional to 606.92, 837.65 and 385.97

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Solution

The fourth proportional to 606.92, 837.65 and 385.97 is: 532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.92 : 837.65 = 385.97 : x
  2. Step 2: Convert to fraction form
    606.92/837.65 = 385.97/x
  3. Step 3: Cross multiply
    606.92x = 837.65 × 385.97
  4. Step 4: Simplify right side
    606.92x = 323,305.84
  5. Step 5: Solve for x
    x = 323,305.84/606.92
  6. Step 6: Final answer
    x = 532.70

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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.