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Finding the Fourth Proportional to 605.16, 908.73 and 397.26

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Solution

The fourth proportional to 605.16, 908.73 and 397.26 is: 596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.16 : 908.73 = 397.26 : x
  2. Step 2: Convert to fraction form
    605.16/908.73 = 397.26/x
  3. Step 3: Cross multiply
    605.16x = 908.73 × 397.26
  4. Step 4: Simplify right side
    605.16x = 361,002.08
  5. Step 5: Solve for x
    x = 361,002.08/605.16
  6. Step 6: Final answer
    x = 596.54

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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.