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Finding the Fourth Proportional to 517.20, 775.82 and 151.99

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Solution

The fourth proportional to 517.20, 775.82 and 151.99 is: 227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.20 : 775.82 = 151.99 : x
  2. Step 2: Convert to fraction form
    517.20/775.82 = 151.99/x
  3. Step 3: Cross multiply
    517.20x = 775.82 × 151.99
  4. Step 4: Simplify right side
    517.20x = 117,916.88
  5. Step 5: Solve for x
    x = 117,916.88/517.20
  6. Step 6: Final answer
    x = 227.99

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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.