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Finding the Fourth Proportional to 514.44, 768.56 and 382.05

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Solution

The fourth proportional to 514.44, 768.56 and 382.05 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.44 : 768.56 = 382.05 : x
  2. Step 2: Convert to fraction form
    514.44/768.56 = 382.05/x
  3. Step 3: Cross multiply
    514.44x = 768.56 × 382.05
  4. Step 4: Simplify right side
    514.44x = 293,626.44
  5. Step 5: Solve for x
    x = 293,626.44/514.44
  6. Step 6: Final answer
    x = 570.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.