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Finding the Fourth Proportional to 517.88, 776.46 and 274.52

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Solution

The fourth proportional to 517.88, 776.46 and 274.52 is: 411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.88 : 776.46 = 274.52 : x
  2. Step 2: Convert to fraction form
    517.88/776.46 = 274.52/x
  3. Step 3: Cross multiply
    517.88x = 776.46 × 274.52
  4. Step 4: Simplify right side
    517.88x = 213,153.80
  5. Step 5: Solve for x
    x = 213,153.80/517.88
  6. Step 6: Final answer
    x = 411.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.