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Finding the Fourth Proportional to 648.15, 971.24 and 485.73

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Solution

The fourth proportional to 648.15, 971.24 and 485.73 is: 727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.15 : 971.24 = 485.73 : x
  2. Step 2: Convert to fraction form
    648.15/971.24 = 485.73/x
  3. Step 3: Cross multiply
    648.15x = 971.24 × 485.73
  4. Step 4: Simplify right side
    648.15x = 471,757.98
  5. Step 5: Solve for x
    x = 471,757.98/648.15
  6. Step 6: Final answer
    x = 727.85

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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.