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Finding the Fourth Proportional to 644.30, 887.28 and 447.46

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Solution

The fourth proportional to 644.30, 887.28 and 447.46 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.30 : 887.28 = 447.46 : x
  2. Step 2: Convert to fraction form
    644.30/887.28 = 447.46/x
  3. Step 3: Cross multiply
    644.30x = 887.28 × 447.46
  4. Step 4: Simplify right side
    644.30x = 397,022.31
  5. Step 5: Solve for x
    x = 397,022.31/644.30
  6. Step 6: Final answer
    x = 616.21

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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.