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Finding the Fourth Proportional to 517.01, 775.55 and 151.83

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Solution

The fourth proportional to 517.01, 775.55 and 151.83 is: 227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.01 : 775.55 = 151.83 : x
  2. Step 2: Convert to fraction form
    517.01/775.55 = 151.83/x
  3. Step 3: Cross multiply
    517.01x = 775.55 × 151.83
  4. Step 4: Simplify right side
    517.01x = 117,752.14
  5. Step 5: Solve for x
    x = 117,752.14/517.01
  6. Step 6: Final answer
    x = 227.76

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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.