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Finding the Fourth Proportional to 514.43, 771.98 and 512.54

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Solution

The fourth proportional to 514.43, 771.98 and 512.54 is: 769.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.43 : 771.98 = 512.54 : x
  2. Step 2: Convert to fraction form
    514.43/771.98 = 512.54/x
  3. Step 3: Cross multiply
    514.43x = 771.98 × 512.54
  4. Step 4: Simplify right side
    514.43x = 395,664.21
  5. Step 5: Solve for x
    x = 395,664.21/514.43
  6. Step 6: Final answer
    x = 769.14

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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.