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Finding the Fourth Proportional to 576.74, 796.16 and 355.82

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Solution

The fourth proportional to 576.74, 796.16 and 355.82 is: 491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.74 : 796.16 = 355.82 : x
  2. Step 2: Convert to fraction form
    576.74/796.16 = 355.82/x
  3. Step 3: Cross multiply
    576.74x = 796.16 × 355.82
  4. Step 4: Simplify right side
    576.74x = 283,286.56
  5. Step 5: Solve for x
    x = 283,286.56/576.74
  6. Step 6: Final answer
    x = 491.19

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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.