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Finding the Fourth Proportional to 680.29, 939.19 and 431.82

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Solution

The fourth proportional to 680.29, 939.19 and 431.82 is: 596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.29 : 939.19 = 431.82 : x
  2. Step 2: Convert to fraction form
    680.29/939.19 = 431.82/x
  3. Step 3: Cross multiply
    680.29x = 939.19 × 431.82
  4. Step 4: Simplify right side
    680.29x = 405,556.33
  5. Step 5: Solve for x
    x = 405,556.33/680.29
  6. Step 6: Final answer
    x = 596.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.