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Finding the Fourth Proportional to 648.46, 898.97 and 613.37

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Solution

The fourth proportional to 648.46, 898.97 and 613.37 is: 850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.46 : 898.97 = 613.37 : x
  2. Step 2: Convert to fraction form
    648.46/898.97 = 613.37/x
  3. Step 3: Cross multiply
    648.46x = 898.97 × 613.37
  4. Step 4: Simplify right side
    648.46x = 551,400.41
  5. Step 5: Solve for x
    x = 551,400.41/648.46
  6. Step 6: Final answer
    x = 850.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.