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Finding the Fourth Proportional to 517.89, 776.39 and 274.59

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Solution

The fourth proportional to 517.89, 776.39 and 274.59 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.89 : 776.39 = 274.59 : x
  2. Step 2: Convert to fraction form
    517.89/776.39 = 274.59/x
  3. Step 3: Cross multiply
    517.89x = 776.39 × 274.59
  4. Step 4: Simplify right side
    517.89x = 213,187.56
  5. Step 5: Solve for x
    x = 213,187.56/517.89
  6. Step 6: Final answer
    x = 411.64

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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.