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Finding the Fourth Proportional to 644.06, 888.81 and 382.13

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Solution

The fourth proportional to 644.06, 888.81 and 382.13 is: 527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.06 : 888.81 = 382.13 : x
  2. Step 2: Convert to fraction form
    644.06/888.81 = 382.13/x
  3. Step 3: Cross multiply
    644.06x = 888.81 × 382.13
  4. Step 4: Simplify right side
    644.06x = 339,638.42
  5. Step 5: Solve for x
    x = 339,638.42/644.06
  6. Step 6: Final answer
    x = 527.34

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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.