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Finding the Fourth Proportional to 606.79, 837.37 and 344.80

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Solution

The fourth proportional to 606.79, 837.37 and 344.80 is: 475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.79 : 837.37 = 344.80 : x
  2. Step 2: Convert to fraction form
    606.79/837.37 = 344.80/x
  3. Step 3: Cross multiply
    606.79x = 837.37 × 344.80
  4. Step 4: Simplify right side
    606.79x = 288,725.18
  5. Step 5: Solve for x
    x = 288,725.18/606.79
  6. Step 6: Final answer
    x = 475.82

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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.