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Finding the Fourth Proportional to 576.12, 794.82 and 379.74

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Solution

The fourth proportional to 576.12, 794.82 and 379.74 is: 523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.12 : 794.82 = 379.74 : x
  2. Step 2: Convert to fraction form
    576.12/794.82 = 379.74/x
  3. Step 3: Cross multiply
    576.12x = 794.82 × 379.74
  4. Step 4: Simplify right side
    576.12x = 301,824.95
  5. Step 5: Solve for x
    x = 301,824.95/576.12
  6. Step 6: Final answer
    x = 523.89

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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.