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Finding the Fourth Proportional to 648.50, 971.38 and 612.56

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Solution

The fourth proportional to 648.50, 971.38 and 612.56 is: 917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.50 : 971.38 = 612.56 : x
  2. Step 2: Convert to fraction form
    648.50/971.38 = 612.56/x
  3. Step 3: Cross multiply
    648.50x = 971.38 × 612.56
  4. Step 4: Simplify right side
    648.50x = 595,023.68
  5. Step 5: Solve for x
    x = 595,023.68/648.50
  6. Step 6: Final answer
    x = 917.54

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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.