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Finding the Fourth Proportional to 662.64, 993.34 and 338.23

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Solution

The fourth proportional to 662.64, 993.34 and 338.23 is: 507.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.64 : 993.34 = 338.23 : x
  2. Step 2: Convert to fraction form
    662.64/993.34 = 338.23/x
  3. Step 3: Cross multiply
    662.64x = 993.34 × 338.23
  4. Step 4: Simplify right side
    662.64x = 335,977.39
  5. Step 5: Solve for x
    x = 335,977.39/662.64
  6. Step 6: Final answer
    x = 507.03

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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.