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Finding the Fourth Proportional to 680.73, 938.09 and 483.90

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Solution

The fourth proportional to 680.73, 938.09 and 483.90 is: 666.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.73 : 938.09 = 483.90 : x
  2. Step 2: Convert to fraction form
    680.73/938.09 = 483.90/x
  3. Step 3: Cross multiply
    680.73x = 938.09 × 483.90
  4. Step 4: Simplify right side
    680.73x = 453,941.75
  5. Step 5: Solve for x
    x = 453,941.75/680.73
  6. Step 6: Final answer
    x = 666.85

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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.