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Finding the Fourth Proportional to 486.09, 727.93 and 445.12

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Solution

The fourth proportional to 486.09, 727.93 and 445.12 is: 666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.09 : 727.93 = 445.12 : x
  2. Step 2: Convert to fraction form
    486.09/727.93 = 445.12/x
  3. Step 3: Cross multiply
    486.09x = 727.93 × 445.12
  4. Step 4: Simplify right side
    486.09x = 324,016.20
  5. Step 5: Solve for x
    x = 324,016.20/486.09
  6. Step 6: Final answer
    x = 666.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.