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Finding the Fourth Proportional to 606.80, 837.40 and 341.30

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Solution

The fourth proportional to 606.80, 837.40 and 341.30 is: 470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.80 : 837.40 = 341.30 : x
  2. Step 2: Convert to fraction form
    606.80/837.40 = 341.30/x
  3. Step 3: Cross multiply
    606.80x = 837.40 × 341.30
  4. Step 4: Simplify right side
    606.80x = 285,799.58
  5. Step 5: Solve for x
    x = 285,799.58/606.80
  6. Step 6: Final answer
    x = 470.99

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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.