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Finding the Fourth Proportional to 647.25, 892.38 and 426.27

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Solution

The fourth proportional to 647.25, 892.38 and 426.27 is: 587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.25 : 892.38 = 426.27 : x
  2. Step 2: Convert to fraction form
    647.25/892.38 = 426.27/x
  3. Step 3: Cross multiply
    647.25x = 892.38 × 426.27
  4. Step 4: Simplify right side
    647.25x = 380,394.82
  5. Step 5: Solve for x
    x = 380,394.82/647.25
  6. Step 6: Final answer
    x = 587.71

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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.