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Finding the Fourth Proportional to 605.78, 908.63 and 215.76

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Solution

The fourth proportional to 605.78, 908.63 and 215.76 is: 323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.78 : 908.63 = 215.76 : x
  2. Step 2: Convert to fraction form
    605.78/908.63 = 215.76/x
  3. Step 3: Cross multiply
    605.78x = 908.63 × 215.76
  4. Step 4: Simplify right side
    605.78x = 196,046.01
  5. Step 5: Solve for x
    x = 196,046.01/605.78
  6. Step 6: Final answer
    x = 323.63

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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.