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Finding the Fourth Proportional to 552.72, 828.64 and 279.01

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Solution

The fourth proportional to 552.72, 828.64 and 279.01 is: 418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.72 : 828.64 = 279.01 : x
  2. Step 2: Convert to fraction form
    552.72/828.64 = 279.01/x
  3. Step 3: Cross multiply
    552.72x = 828.64 × 279.01
  4. Step 4: Simplify right side
    552.72x = 231,198.85
  5. Step 5: Solve for x
    x = 231,198.85/552.72
  6. Step 6: Final answer
    x = 418.29

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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.