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Finding the Fourth Proportional to 644.24, 889.06 and 378.87

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Solution

The fourth proportional to 644.24, 889.06 and 378.87 is: 522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 889.06 = 378.87 : x
  2. Step 2: Convert to fraction form
    644.24/889.06 = 378.87/x
  3. Step 3: Cross multiply
    644.24x = 889.06 × 378.87
  4. Step 4: Simplify right side
    644.24x = 336,841.33
  5. Step 5: Solve for x
    x = 336,841.33/644.24
  6. Step 6: Final answer
    x = 522.85

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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.