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Finding the Fourth Proportional to 608.29, 839.69 and 422.39

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Solution

The fourth proportional to 608.29, 839.69 and 422.39 is: 583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.29 : 839.69 = 422.39 : x
  2. Step 2: Convert to fraction form
    608.29/839.69 = 422.39/x
  3. Step 3: Cross multiply
    608.29x = 839.69 × 422.39
  4. Step 4: Simplify right side
    608.29x = 354,676.66
  5. Step 5: Solve for x
    x = 354,676.66/608.29
  6. Step 6: Final answer
    x = 583.07

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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.