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Finding the Fourth Proportional to 552.27, 828.51 and 274.65

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Solution

The fourth proportional to 552.27, 828.51 and 274.65 is: 412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.27 : 828.51 = 274.65 : x
  2. Step 2: Convert to fraction form
    552.27/828.51 = 274.65/x
  3. Step 3: Cross multiply
    552.27x = 828.51 × 274.65
  4. Step 4: Simplify right side
    552.27x = 227,550.27
  5. Step 5: Solve for x
    x = 227,550.27/552.27
  6. Step 6: Final answer
    x = 412.03

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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.