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Finding the Fourth Proportional to 576.28, 794.85 and 343.39

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Solution

The fourth proportional to 576.28, 794.85 and 343.39 is: 473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.28 : 794.85 = 343.39 : x
  2. Step 2: Convert to fraction form
    576.28/794.85 = 343.39/x
  3. Step 3: Cross multiply
    576.28x = 794.85 × 343.39
  4. Step 4: Simplify right side
    576.28x = 272,943.54
  5. Step 5: Solve for x
    x = 272,943.54/576.28
  6. Step 6: Final answer
    x = 473.63

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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.