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Finding the Fourth Proportional to 644.09, 889.13 and 423.11

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Solution

The fourth proportional to 644.09, 889.13 and 423.11 is: 584.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.09 : 889.13 = 423.11 : x
  2. Step 2: Convert to fraction form
    644.09/889.13 = 423.11/x
  3. Step 3: Cross multiply
    644.09x = 889.13 × 423.11
  4. Step 4: Simplify right side
    644.09x = 376,193.23
  5. Step 5: Solve for x
    x = 376,193.23/644.09
  6. Step 6: Final answer
    x = 584.07

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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.