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Finding the Fourth Proportional to 680.24, 938.48 and 431.48

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Solution

The fourth proportional to 680.24, 938.48 and 431.48 is: 595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.24 : 938.48 = 431.48 : x
  2. Step 2: Convert to fraction form
    680.24/938.48 = 431.48/x
  3. Step 3: Cross multiply
    680.24x = 938.48 × 431.48
  4. Step 4: Simplify right side
    680.24x = 404,935.35
  5. Step 5: Solve for x
    x = 404,935.35/680.24
  6. Step 6: Final answer
    x = 595.28

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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.