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Finding the Fourth Proportional to 608.22, 838.68 and 411.39

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Solution

The fourth proportional to 608.22, 838.68 and 411.39 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.22 : 838.68 = 411.39 : x
  2. Step 2: Convert to fraction form
    608.22/838.68 = 411.39/x
  3. Step 3: Cross multiply
    608.22x = 838.68 × 411.39
  4. Step 4: Simplify right side
    608.22x = 345,023.02
  5. Step 5: Solve for x
    x = 345,023.02/608.22
  6. Step 6: Final answer
    x = 567.27

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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.