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Finding the Fourth Proportional to 576.70, 795.20 and 408.82

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Solution

The fourth proportional to 576.70, 795.20 and 408.82 is: 563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.70 : 795.20 = 408.82 : x
  2. Step 2: Convert to fraction form
    576.70/795.20 = 408.82/x
  3. Step 3: Cross multiply
    576.70x = 795.20 × 408.82
  4. Step 4: Simplify right side
    576.70x = 325,093.66
  5. Step 5: Solve for x
    x = 325,093.66/576.70
  6. Step 6: Final answer
    x = 563.71

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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.