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Finding the Fourth Proportional to 576.76, 796 and 328.02

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Solution

The fourth proportional to 576.76, 796 and 328.02 is: 452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.76 : 796 = 328.02 : x
  2. Step 2: Convert to fraction form
    576.76/796 = 328.02/x
  3. Step 3: Cross multiply
    576.76x = 796 × 328.02
  4. Step 4: Simplify right side
    576.76x = 261,103.92
  5. Step 5: Solve for x
    x = 261,103.92/576.76
  6. Step 6: Final answer
    x = 452.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.