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Finding the Fourth Proportional to 644.35, 889.63 and 423.68

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Solution

The fourth proportional to 644.35, 889.63 and 423.68 is: 584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.35 : 889.63 = 423.68 : x
  2. Step 2: Convert to fraction form
    644.35/889.63 = 423.68/x
  3. Step 3: Cross multiply
    644.35x = 889.63 × 423.68
  4. Step 4: Simplify right side
    644.35x = 376,912.93
  5. Step 5: Solve for x
    x = 376,912.93/644.35
  6. Step 6: Final answer
    x = 584.95

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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.