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Finding the Fourth Proportional to 663.17, 994.21 and 406.13

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Solution

The fourth proportional to 663.17, 994.21 and 406.13 is: 608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.17 : 994.21 = 406.13 : x
  2. Step 2: Convert to fraction form
    663.17/994.21 = 406.13/x
  3. Step 3: Cross multiply
    663.17x = 994.21 × 406.13
  4. Step 4: Simplify right side
    663.17x = 403,772.52
  5. Step 5: Solve for x
    x = 403,772.52/663.17
  6. Step 6: Final answer
    x = 608.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.