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Finding the Fourth Proportional to 511.69, 768.15 and 306.46

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Solution

The fourth proportional to 511.69, 768.15 and 306.46 is: 460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.69 : 768.15 = 306.46 : x
  2. Step 2: Convert to fraction form
    511.69/768.15 = 306.46/x
  3. Step 3: Cross multiply
    511.69x = 768.15 × 306.46
  4. Step 4: Simplify right side
    511.69x = 235,407.25
  5. Step 5: Solve for x
    x = 235,407.25/511.69
  6. Step 6: Final answer
    x = 460.06

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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.