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Finding the Fourth Proportional to 605.68, 908.72 and 401.05

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Solution

The fourth proportional to 605.68, 908.72 and 401.05 is: 601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.68 : 908.72 = 401.05 : x
  2. Step 2: Convert to fraction form
    605.68/908.72 = 401.05/x
  3. Step 3: Cross multiply
    605.68x = 908.72 × 401.05
  4. Step 4: Simplify right side
    605.68x = 364,442.79
  5. Step 5: Solve for x
    x = 364,442.79/605.68
  6. Step 6: Final answer
    x = 601.71

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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.