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Finding the Fourth Proportional to 608.14, 839 and 411.34

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Solution

The fourth proportional to 608.14, 839 and 411.34 is: 567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.14 : 839 = 411.34 : x
  2. Step 2: Convert to fraction form
    608.14/839 = 411.34/x
  3. Step 3: Cross multiply
    608.14x = 839 × 411.34
  4. Step 4: Simplify right side
    608.14x = 345,114.26
  5. Step 5: Solve for x
    x = 345,114.26/608.14
  6. Step 6: Final answer
    x = 567.49

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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.