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Finding the Fourth Proportional to 663.38, 993.42 and 419.12

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Solution

The fourth proportional to 663.38, 993.42 and 419.12 is: 627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.38 : 993.42 = 419.12 : x
  2. Step 2: Convert to fraction form
    663.38/993.42 = 419.12/x
  3. Step 3: Cross multiply
    663.38x = 993.42 × 419.12
  4. Step 4: Simplify right side
    663.38x = 416,362.19
  5. Step 5: Solve for x
    x = 416,362.19/663.38
  6. Step 6: Final answer
    x = 627.64

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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.