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Finding the Fourth Proportional to 605.96, 908.92 and 259.05

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Solution

The fourth proportional to 605.96, 908.92 and 259.05 is: 388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.96 : 908.92 = 259.05 : x
  2. Step 2: Convert to fraction form
    605.96/908.92 = 259.05/x
  3. Step 3: Cross multiply
    605.96x = 908.92 × 259.05
  4. Step 4: Simplify right side
    605.96x = 235,454.35
  5. Step 5: Solve for x
    x = 235,454.35/605.96
  6. Step 6: Final answer
    x = 388.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.