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Finding the Fourth Proportional to 552.64, 828.16 and 324.16

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Solution

The fourth proportional to 552.64, 828.16 and 324.16 is: 485.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.64 : 828.16 = 324.16 : x
  2. Step 2: Convert to fraction form
    552.64/828.16 = 324.16/x
  3. Step 3: Cross multiply
    552.64x = 828.16 × 324.16
  4. Step 4: Simplify right side
    552.64x = 268,456.35
  5. Step 5: Solve for x
    x = 268,456.35/552.64
  6. Step 6: Final answer
    x = 485.77

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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.