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Finding the Fourth Proportional to 520.92, 780.81 and 228.66

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Solution

The fourth proportional to 520.92, 780.81 and 228.66 is: 342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.92 : 780.81 = 228.66 : x
  2. Step 2: Convert to fraction form
    520.92/780.81 = 228.66/x
  3. Step 3: Cross multiply
    520.92x = 780.81 × 228.66
  4. Step 4: Simplify right side
    520.92x = 178,540.01
  5. Step 5: Solve for x
    x = 178,540.01/520.92
  6. Step 6: Final answer
    x = 342.74

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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.