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Finding the Fourth Proportional to 576.65, 795.81 and 324.59

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Solution

The fourth proportional to 576.65, 795.81 and 324.59 is: 447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.65 : 795.81 = 324.59 : x
  2. Step 2: Convert to fraction form
    576.65/795.81 = 324.59/x
  3. Step 3: Cross multiply
    576.65x = 795.81 × 324.59
  4. Step 4: Simplify right side
    576.65x = 258,311.97
  5. Step 5: Solve for x
    x = 258,311.97/576.65
  6. Step 6: Final answer
    x = 447.96

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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.