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Finding the Fourth Proportional to 517.43, 776.43 and 228.86

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Solution

The fourth proportional to 517.43, 776.43 and 228.86 is: 343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.43 : 776.43 = 228.86 : x
  2. Step 2: Convert to fraction form
    517.43/776.43 = 228.86/x
  3. Step 3: Cross multiply
    517.43x = 776.43 × 228.86
  4. Step 4: Simplify right side
    517.43x = 177,689.89
  5. Step 5: Solve for x
    x = 177,689.89/517.43
  6. Step 6: Final answer
    x = 343.41

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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.