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Finding the Fourth Proportional to 517.25, 776.48 and 228.89

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Solution

The fourth proportional to 517.25, 776.48 and 228.89 is: 343.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.25 : 776.48 = 228.89 : x
  2. Step 2: Convert to fraction form
    517.25/776.48 = 228.89/x
  3. Step 3: Cross multiply
    517.25x = 776.48 × 228.89
  4. Step 4: Simplify right side
    517.25x = 177,723.48
  5. Step 5: Solve for x
    x = 177,723.48/517.25
  6. Step 6: Final answer
    x = 343.60

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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.