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Finding the Fourth Proportional to 644.40, 888.96 and 382.38

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Solution

The fourth proportional to 644.40, 888.96 and 382.38 is: 527.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.40 : 888.96 = 382.38 : x
  2. Step 2: Convert to fraction form
    644.40/888.96 = 382.38/x
  3. Step 3: Cross multiply
    644.40x = 888.96 × 382.38
  4. Step 4: Simplify right side
    644.40x = 339,920.52
  5. Step 5: Solve for x
    x = 339,920.52/644.40
  6. Step 6: Final answer
    x = 527.50

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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.