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Finding the Fourth Proportional to 517.21, 775.82 and 414.36

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Solution

The fourth proportional to 517.21, 775.82 and 414.36 is: 621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.21 : 775.82 = 414.36 : x
  2. Step 2: Convert to fraction form
    517.21/775.82 = 414.36/x
  3. Step 3: Cross multiply
    517.21x = 775.82 × 414.36
  4. Step 4: Simplify right side
    517.21x = 321,468.78
  5. Step 5: Solve for x
    x = 321,468.78/517.21
  6. Step 6: Final answer
    x = 621.54

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Similar ratio
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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.