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Finding the Fourth Proportional to 512.21, 767.73 and 450.39

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Solution

The fourth proportional to 512.21, 767.73 and 450.39 is: 675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.21 : 767.73 = 450.39 : x
  2. Step 2: Convert to fraction form
    512.21/767.73 = 450.39/x
  3. Step 3: Cross multiply
    512.21x = 767.73 × 450.39
  4. Step 4: Simplify right side
    512.21x = 345,781.70
  5. Step 5: Solve for x
    x = 345,781.70/512.21
  6. Step 6: Final answer
    x = 675.08

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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.