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Finding the Fourth Proportional to 511.37, 765.22 and 409.31

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Solution

The fourth proportional to 511.37, 765.22 and 409.31 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.37 : 765.22 = 409.31 : x
  2. Step 2: Convert to fraction form
    511.37/765.22 = 409.31/x
  3. Step 3: Cross multiply
    511.37x = 765.22 × 409.31
  4. Step 4: Simplify right side
    511.37x = 313,208.37
  5. Step 5: Solve for x
    x = 313,208.37/511.37
  6. Step 6: Final answer
    x = 612.49

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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.