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Finding the Fourth Proportional to 517.01, 774.18 and 272.99

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Solution

The fourth proportional to 517.01, 774.18 and 272.99 is: 408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.01 : 774.18 = 272.99 : x
  2. Step 2: Convert to fraction form
    517.01/774.18 = 272.99/x
  3. Step 3: Cross multiply
    517.01x = 774.18 × 272.99
  4. Step 4: Simplify right side
    517.01x = 211,339.53
  5. Step 5: Solve for x
    x = 211,339.53/517.01
  6. Step 6: Final answer
    x = 408.78

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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.