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Finding the Fourth Proportional to 644.48, 889.43 and 395.74

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Solution

The fourth proportional to 644.48, 889.43 and 395.74 is: 546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.48 : 889.43 = 395.74 : x
  2. Step 2: Convert to fraction form
    644.48/889.43 = 395.74/x
  3. Step 3: Cross multiply
    644.48x = 889.43 × 395.74
  4. Step 4: Simplify right side
    644.48x = 351,983.03
  5. Step 5: Solve for x
    x = 351,983.03/644.48
  6. Step 6: Final answer
    x = 546.15

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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.