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Finding the Fourth Proportional to 511.78, 768.60 and 468.94

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Solution

The fourth proportional to 511.78, 768.60 and 468.94 is: 704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.78 : 768.60 = 468.94 : x
  2. Step 2: Convert to fraction form
    511.78/768.60 = 468.94/x
  3. Step 3: Cross multiply
    511.78x = 768.60 × 468.94
  4. Step 4: Simplify right side
    511.78x = 360,427.28
  5. Step 5: Solve for x
    x = 360,427.28/511.78
  6. Step 6: Final answer
    x = 704.26

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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.