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Finding the Fourth Proportional to 648.43, 971.34 and 301.29

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Solution

The fourth proportional to 648.43, 971.34 and 301.29 is: 451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.43 : 971.34 = 301.29 : x
  2. Step 2: Convert to fraction form
    648.43/971.34 = 301.29/x
  3. Step 3: Cross multiply
    648.43x = 971.34 × 301.29
  4. Step 4: Simplify right side
    648.43x = 292,650.17
  5. Step 5: Solve for x
    x = 292,650.17/648.43
  6. Step 6: Final answer
    x = 451.32

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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.