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Finding the Fourth Proportional to 722.37, 994.50 and 648.57

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Solution

The fourth proportional to 722.37, 994.50 and 648.57 is: 892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.37 : 994.50 = 648.57 : x
  2. Step 2: Convert to fraction form
    722.37/994.50 = 648.57/x
  3. Step 3: Cross multiply
    722.37x = 994.50 × 648.57
  4. Step 4: Simplify right side
    722.37x = 645,002.87
  5. Step 5: Solve for x
    x = 645,002.87/722.37
  6. Step 6: Final answer
    x = 892.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.