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Finding the Fourth Proportional to 411.85, 569.09 and 329.64

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Solution

The fourth proportional to 411.85, 569.09 and 329.64 is: 455.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.85 : 569.09 = 329.64 : x
  2. Step 2: Convert to fraction form
    411.85/569.09 = 329.64/x
  3. Step 3: Cross multiply
    411.85x = 569.09 × 329.64
  4. Step 4: Simplify right side
    411.85x = 187,593.52
  5. Step 5: Solve for x
    x = 187,593.52/411.85
  6. Step 6: Final answer
    x = 455.49

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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.