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Finding the Fourth Proportional to 648.15, 971.34 and 416.91

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Solution

The fourth proportional to 648.15, 971.34 and 416.91 is: 624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.15 : 971.34 = 416.91 : x
  2. Step 2: Convert to fraction form
    648.15/971.34 = 416.91/x
  3. Step 3: Cross multiply
    648.15x = 971.34 × 416.91
  4. Step 4: Simplify right side
    648.15x = 404,961.36
  5. Step 5: Solve for x
    x = 404,961.36/648.15
  6. Step 6: Final answer
    x = 624.80

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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.