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Finding the Fourth Proportional to 514.14, 769.83 and 414.78

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Solution

The fourth proportional to 514.14, 769.83 and 414.78 is: 621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.14 : 769.83 = 414.78 : x
  2. Step 2: Convert to fraction form
    514.14/769.83 = 414.78/x
  3. Step 3: Cross multiply
    514.14x = 769.83 × 414.78
  4. Step 4: Simplify right side
    514.14x = 319,310.09
  5. Step 5: Solve for x
    x = 319,310.09/514.14
  6. Step 6: Final answer
    x = 621.06

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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.