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Finding the Fourth Proportional to 608.11, 839.15 and 411.68

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Solution

The fourth proportional to 608.11, 839.15 and 411.68 is: 568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.11 : 839.15 = 411.68 : x
  2. Step 2: Convert to fraction form
    608.11/839.15 = 411.68/x
  3. Step 3: Cross multiply
    608.11x = 839.15 × 411.68
  4. Step 4: Simplify right side
    608.11x = 345,459.21
  5. Step 5: Solve for x
    x = 345,459.21/608.11
  6. Step 6: Final answer
    x = 568.09

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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.