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Finding the Fourth Proportional to 662.99, 993.63 and 272.55

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Solution

The fourth proportional to 662.99, 993.63 and 272.55 is: 408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.99 : 993.63 = 272.55 : x
  2. Step 2: Convert to fraction form
    662.99/993.63 = 272.55/x
  3. Step 3: Cross multiply
    662.99x = 993.63 × 272.55
  4. Step 4: Simplify right side
    662.99x = 270,810.72
  5. Step 5: Solve for x
    x = 270,810.72/662.99
  6. Step 6: Final answer
    x = 408.47

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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.