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Finding the Fourth Proportional to 517.26, 774.87 and 300.38

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Solution

The fourth proportional to 517.26, 774.87 and 300.38 is: 449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.26 : 774.87 = 300.38 : x
  2. Step 2: Convert to fraction form
    517.26/774.87 = 300.38/x
  3. Step 3: Cross multiply
    517.26x = 774.87 × 300.38
  4. Step 4: Simplify right side
    517.26x = 232,753.51
  5. Step 5: Solve for x
    x = 232,753.51/517.26
  6. Step 6: Final answer
    x = 449.98

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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.