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Finding the Fourth Proportional to 517.69, 776.64 and 274.15

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Solution

The fourth proportional to 517.69, 776.64 and 274.15 is: 411.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.69 : 776.64 = 274.15 : x
  2. Step 2: Convert to fraction form
    517.69/776.64 = 274.15/x
  3. Step 3: Cross multiply
    517.69x = 776.64 × 274.15
  4. Step 4: Simplify right side
    517.69x = 212,917.85
  5. Step 5: Solve for x
    x = 212,917.85/517.69
  6. Step 6: Final answer
    x = 411.28

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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.