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Finding the Fourth Proportional to 517.46, 776.91 and 414.42

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Solution

The fourth proportional to 517.46, 776.91 and 414.42 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.46 : 776.91 = 414.42 : x
  2. Step 2: Convert to fraction form
    517.46/776.91 = 414.42/x
  3. Step 3: Cross multiply
    517.46x = 776.91 × 414.42
  4. Step 4: Simplify right side
    517.46x = 321,967.04
  5. Step 5: Solve for x
    x = 321,967.04/517.46
  6. Step 6: Final answer
    x = 622.21

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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.