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Finding the Fourth Proportional to 605.29, 908.78 and 401.17

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Solution

The fourth proportional to 605.29, 908.78 and 401.17 is: 602.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.29 : 908.78 = 401.17 : x
  2. Step 2: Convert to fraction form
    605.29/908.78 = 401.17/x
  3. Step 3: Cross multiply
    605.29x = 908.78 × 401.17
  4. Step 4: Simplify right side
    605.29x = 364,575.27
  5. Step 5: Solve for x
    x = 364,575.27/605.29
  6. Step 6: Final answer
    x = 602.32

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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.