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Finding the Fourth Proportional to 576.22, 862.80 and 403.09

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Solution

The fourth proportional to 576.22, 862.80 and 403.09 is: 603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.22 : 862.80 = 403.09 : x
  2. Step 2: Convert to fraction form
    576.22/862.80 = 403.09/x
  3. Step 3: Cross multiply
    576.22x = 862.80 × 403.09
  4. Step 4: Simplify right side
    576.22x = 347,786.05
  5. Step 5: Solve for x
    x = 347,786.05/576.22
  6. Step 6: Final answer
    x = 603.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.