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Finding the Fourth Proportional to 680.10, 938.69 and 431.76

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Solution

The fourth proportional to 680.10, 938.69 and 431.76 is: 595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.10 : 938.69 = 431.76 : x
  2. Step 2: Convert to fraction form
    680.10/938.69 = 431.76/x
  3. Step 3: Cross multiply
    680.10x = 938.69 × 431.76
  4. Step 4: Simplify right side
    680.10x = 405,286.64
  5. Step 5: Solve for x
    x = 405,286.64/680.10
  6. Step 6: Final answer
    x = 595.92

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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.