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Finding the Fourth Proportional to 512.03, 771.81 and 499.73

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Solution

The fourth proportional to 512.03, 771.81 and 499.73 is: 753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.03 : 771.81 = 499.73 : x
  2. Step 2: Convert to fraction form
    512.03/771.81 = 499.73/x
  3. Step 3: Cross multiply
    512.03x = 771.81 × 499.73
  4. Step 4: Simplify right side
    512.03x = 385,692.75
  5. Step 5: Solve for x
    x = 385,692.75/512.03
  6. Step 6: Final answer
    x = 753.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.