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Finding the Fourth Proportional to 412.88, 569.79 and 324.47

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Solution

The fourth proportional to 412.88, 569.79 and 324.47 is: 447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.88 : 569.79 = 324.47 : x
  2. Step 2: Convert to fraction form
    412.88/569.79 = 324.47/x
  3. Step 3: Cross multiply
    412.88x = 569.79 × 324.47
  4. Step 4: Simplify right side
    412.88x = 184,879.76
  5. Step 5: Solve for x
    x = 184,879.76/412.88
  6. Step 6: Final answer
    x = 447.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.