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Finding the Fourth Proportional to 644.06, 888.96 and 382.23

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Solution

The fourth proportional to 644.06, 888.96 and 382.23 is: 527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.06 : 888.96 = 382.23 : x
  2. Step 2: Convert to fraction form
    644.06/888.96 = 382.23/x
  3. Step 3: Cross multiply
    644.06x = 888.96 × 382.23
  4. Step 4: Simplify right side
    644.06x = 339,787.18
  5. Step 5: Solve for x
    x = 339,787.18/644.06
  6. Step 6: Final answer
    x = 527.57

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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.