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Finding the Fourth Proportional to 552.70, 828.60 and 205.93

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Solution

The fourth proportional to 552.70, 828.60 and 205.93 is: 308.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.70 : 828.60 = 205.93 : x
  2. Step 2: Convert to fraction form
    552.70/828.60 = 205.93/x
  3. Step 3: Cross multiply
    552.70x = 828.60 × 205.93
  4. Step 4: Simplify right side
    552.70x = 170,633.60
  5. Step 5: Solve for x
    x = 170,633.60/552.70
  6. Step 6: Final answer
    x = 308.73

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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.