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Finding the Fourth Proportional to 680.24, 938.32 and 431.44

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Solution

The fourth proportional to 680.24, 938.32 and 431.44 is: 595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.24 : 938.32 = 431.44 : x
  2. Step 2: Convert to fraction form
    680.24/938.32 = 431.44/x
  3. Step 3: Cross multiply
    680.24x = 938.32 × 431.44
  4. Step 4: Simplify right side
    680.24x = 404,828.78
  5. Step 5: Solve for x
    x = 404,828.78/680.24
  6. Step 6: Final answer
    x = 595.13

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Why These Related Problems?

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