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Finding the Fourth Proportional to 552.12, 827.32 and 320.44

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Solution

The fourth proportional to 552.12, 827.32 and 320.44 is: 480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.12 : 827.32 = 320.44 : x
  2. Step 2: Convert to fraction form
    552.12/827.32 = 320.44/x
  3. Step 3: Cross multiply
    552.12x = 827.32 × 320.44
  4. Step 4: Simplify right side
    552.12x = 265,106.42
  5. Step 5: Solve for x
    x = 265,106.42/552.12
  6. Step 6: Final answer
    x = 480.16

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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.