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Finding the Fourth Proportional to 511.94, 764.77 and 409.42

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Solution

The fourth proportional to 511.94, 764.77 and 409.42 is: 611.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.94 : 764.77 = 409.42 : x
  2. Step 2: Convert to fraction form
    511.94/764.77 = 409.42/x
  3. Step 3: Cross multiply
    511.94x = 764.77 × 409.42
  4. Step 4: Simplify right side
    511.94x = 313,112.13
  5. Step 5: Solve for x
    x = 313,112.13/511.94
  6. Step 6: Final answer
    x = 611.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.