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Finding the Fourth Proportional to 608.39, 839.81 and 461.38

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Solution

The fourth proportional to 608.39, 839.81 and 461.38 is: 636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.39 : 839.81 = 461.38 : x
  2. Step 2: Convert to fraction form
    608.39/839.81 = 461.38/x
  3. Step 3: Cross multiply
    608.39x = 839.81 × 461.38
  4. Step 4: Simplify right side
    608.39x = 387,470.59
  5. Step 5: Solve for x
    x = 387,470.59/608.39
  6. Step 6: Final answer
    x = 636.88

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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.