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Finding the Fourth Proportional to 514.52, 768.94 and 377.90

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Solution

The fourth proportional to 514.52, 768.94 and 377.90 is: 564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.52 : 768.94 = 377.90 : x
  2. Step 2: Convert to fraction form
    514.52/768.94 = 377.90/x
  3. Step 3: Cross multiply
    514.52x = 768.94 × 377.90
  4. Step 4: Simplify right side
    514.52x = 290,582.43
  5. Step 5: Solve for x
    x = 290,582.43/514.52
  6. Step 6: Final answer
    x = 564.76

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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.