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Finding the Fourth Proportional to 512.53, 768.79 and 165.86

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Solution

The fourth proportional to 512.53, 768.79 and 165.86 is: 248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.53 : 768.79 = 165.86 : x
  2. Step 2: Convert to fraction form
    512.53/768.79 = 165.86/x
  3. Step 3: Cross multiply
    512.53x = 768.79 × 165.86
  4. Step 4: Simplify right side
    512.53x = 127,511.51
  5. Step 5: Solve for x
    x = 127,511.51/512.53
  6. Step 6: Final answer
    x = 248.79

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Similar ratio
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1.5x scale

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.