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Finding the Fourth Proportional to 427.77, 640.50 and 272.85

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Solution

The fourth proportional to 427.77, 640.50 and 272.85 is: 408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.77 : 640.50 = 272.85 : x
  2. Step 2: Convert to fraction form
    427.77/640.50 = 272.85/x
  3. Step 3: Cross multiply
    427.77x = 640.50 × 272.85
  4. Step 4: Simplify right side
    427.77x = 174,760.43
  5. Step 5: Solve for x
    x = 174,760.43/427.77
  6. Step 6: Final answer
    x = 408.54

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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.