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Finding the Fourth Proportional to 680.82, 938.43 and 471.30

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Solution

The fourth proportional to 680.82, 938.43 and 471.30 is: 649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.82 : 938.43 = 471.30 : x
  2. Step 2: Convert to fraction form
    680.82/938.43 = 471.30/x
  3. Step 3: Cross multiply
    680.82x = 938.43 × 471.30
  4. Step 4: Simplify right side
    680.82x = 442,282.06
  5. Step 5: Solve for x
    x = 442,282.06/680.82
  6. Step 6: Final answer
    x = 649.63

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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.