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Finding the Fourth Proportional to 574.71, 793.09 and 326.03

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Solution

The fourth proportional to 574.71, 793.09 and 326.03 is: 449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.71 : 793.09 = 326.03 : x
  2. Step 2: Convert to fraction form
    574.71/793.09 = 326.03/x
  3. Step 3: Cross multiply
    574.71x = 793.09 × 326.03
  4. Step 4: Simplify right side
    574.71x = 258,567.57
  5. Step 5: Solve for x
    x = 258,567.57/574.71
  6. Step 6: Final answer
    x = 449.91

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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.