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Finding the Fourth Proportional to 486.46, 727.06 and 447.54

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Solution

The fourth proportional to 486.46, 727.06 and 447.54 is: 668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.46 : 727.06 = 447.54 : x
  2. Step 2: Convert to fraction form
    486.46/727.06 = 447.54/x
  3. Step 3: Cross multiply
    486.46x = 727.06 × 447.54
  4. Step 4: Simplify right side
    486.46x = 325,388.34
  5. Step 5: Solve for x
    x = 325,388.34/486.46
  6. Step 6: Final answer
    x = 668.90

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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.