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Finding the Fourth Proportional to 644.08, 888.36 and 408.10

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Solution

The fourth proportional to 644.08, 888.36 and 408.10 is: 562.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.08 : 888.36 = 408.10 : x
  2. Step 2: Convert to fraction form
    644.08/888.36 = 408.10/x
  3. Step 3: Cross multiply
    644.08x = 888.36 × 408.10
  4. Step 4: Simplify right side
    644.08x = 362,539.72
  5. Step 5: Solve for x
    x = 362,539.72/644.08
  6. Step 6: Final answer
    x = 562.88

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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.