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Finding the Fourth Proportional to 648.33, 971.81 and 301.37

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Solution

The fourth proportional to 648.33, 971.81 and 301.37 is: 451.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.33 : 971.81 = 301.37 : x
  2. Step 2: Convert to fraction form
    648.33/971.81 = 301.37/x
  3. Step 3: Cross multiply
    648.33x = 971.81 × 301.37
  4. Step 4: Simplify right side
    648.33x = 292,874.38
  5. Step 5: Solve for x
    x = 292,874.38/648.33
  6. Step 6: Final answer
    x = 451.74

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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.