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Finding the Fourth Proportional to 525.92, 789.02 and 217.71

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Solution

The fourth proportional to 525.92, 789.02 and 217.71 is: 326.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.92 : 789.02 = 217.71 : x
  2. Step 2: Convert to fraction form
    525.92/789.02 = 217.71/x
  3. Step 3: Cross multiply
    525.92x = 789.02 × 217.71
  4. Step 4: Simplify right side
    525.92x = 171,778.50
  5. Step 5: Solve for x
    x = 171,778.50/525.92
  6. Step 6: Final answer
    x = 326.63

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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.