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Finding the Fourth Proportional to 511.20, 768.48 and 404.24

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Solution

The fourth proportional to 511.20, 768.48 and 404.24 is: 607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.20 : 768.48 = 404.24 : x
  2. Step 2: Convert to fraction form
    511.20/768.48 = 404.24/x
  3. Step 3: Cross multiply
    511.20x = 768.48 × 404.24
  4. Step 4: Simplify right side
    511.20x = 310,650.36
  5. Step 5: Solve for x
    x = 310,650.36/511.20
  6. Step 6: Final answer
    x = 607.69

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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.