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Finding the Fourth Proportional to 486.63, 671.72 and 329.31

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Solution

The fourth proportional to 486.63, 671.72 and 329.31 is: 454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.63 : 671.72 = 329.31 : x
  2. Step 2: Convert to fraction form
    486.63/671.72 = 329.31/x
  3. Step 3: Cross multiply
    486.63x = 671.72 × 329.31
  4. Step 4: Simplify right side
    486.63x = 221,202.47
  5. Step 5: Solve for x
    x = 221,202.47/486.63
  6. Step 6: Final answer
    x = 454.56

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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.