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Finding the Fourth Proportional to 680.02, 938.77 and 441.03

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Solution

The fourth proportional to 680.02, 938.77 and 441.03 is: 608.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.02 : 938.77 = 441.03 : x
  2. Step 2: Convert to fraction form
    680.02/938.77 = 441.03/x
  3. Step 3: Cross multiply
    680.02x = 938.77 × 441.03
  4. Step 4: Simplify right side
    680.02x = 414,025.73
  5. Step 5: Solve for x
    x = 414,025.73/680.02
  6. Step 6: Final answer
    x = 608.84

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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.