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Finding the Fourth Proportional to 512.66, 767.37 and 365.94

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Solution

The fourth proportional to 512.66, 767.37 and 365.94 is: 547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.66 : 767.37 = 365.94 : x
  2. Step 2: Convert to fraction form
    512.66/767.37 = 365.94/x
  3. Step 3: Cross multiply
    512.66x = 767.37 × 365.94
  4. Step 4: Simplify right side
    512.66x = 280,812.75
  5. Step 5: Solve for x
    x = 280,812.75/512.66
  6. Step 6: Final answer
    x = 547.75

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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.