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Finding the Fourth Proportional to 512.82, 767.64 and 357.96

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Solution

The fourth proportional to 512.82, 767.64 and 357.96 is: 535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.82 : 767.64 = 357.96 : x
  2. Step 2: Convert to fraction form
    512.82/767.64 = 357.96/x
  3. Step 3: Cross multiply
    512.82x = 767.64 × 357.96
  4. Step 4: Simplify right side
    512.82x = 274,784.41
  5. Step 5: Solve for x
    x = 274,784.41/512.82
  6. Step 6: Final answer
    x = 535.83

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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.