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Finding the Fourth Proportional to 576.41, 863.22 and 478.19

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Solution

The fourth proportional to 576.41, 863.22 and 478.19 is: 716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.41 : 863.22 = 478.19 : x
  2. Step 2: Convert to fraction form
    576.41/863.22 = 478.19/x
  3. Step 3: Cross multiply
    576.41x = 863.22 × 478.19
  4. Step 4: Simplify right side
    576.41x = 412,778.86
  5. Step 5: Solve for x
    x = 412,778.86/576.41
  6. Step 6: Final answer
    x = 716.13

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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.