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Finding the Fourth Proportional to 486.92, 672.14 and 329.47

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Solution

The fourth proportional to 486.92, 672.14 and 329.47 is: 454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.92 : 672.14 = 329.47 : x
  2. Step 2: Convert to fraction form
    486.92/672.14 = 329.47/x
  3. Step 3: Cross multiply
    486.92x = 672.14 × 329.47
  4. Step 4: Simplify right side
    486.92x = 221,448.32
  5. Step 5: Solve for x
    x = 221,448.32/486.92
  6. Step 6: Final answer
    x = 454.80

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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.