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Finding the Fourth Proportional to 486.12, 727.44 and 453.54

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Solution

The fourth proportional to 486.12, 727.44 and 453.54 is: 678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.12 : 727.44 = 453.54 : x
  2. Step 2: Convert to fraction form
    486.12/727.44 = 453.54/x
  3. Step 3: Cross multiply
    486.12x = 727.44 × 453.54
  4. Step 4: Simplify right side
    486.12x = 329,919.50
  5. Step 5: Solve for x
    x = 329,919.50/486.12
  6. Step 6: Final answer
    x = 678.68

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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.