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Finding the Fourth Proportional to 644.50, 889.44 and 423.82

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Solution

The fourth proportional to 644.50, 889.44 and 423.82 is: 584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.50 : 889.44 = 423.82 : x
  2. Step 2: Convert to fraction form
    644.50/889.44 = 423.82/x
  3. Step 3: Cross multiply
    644.50x = 889.44 × 423.82
  4. Step 4: Simplify right side
    644.50x = 376,962.46
  5. Step 5: Solve for x
    x = 376,962.46/644.50
  6. Step 6: Final answer
    x = 584.89

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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.