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Finding the Fourth Proportional to 644.08, 888.68 and 411.28

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Solution

The fourth proportional to 644.08, 888.68 and 411.28 is: 567.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.08 : 888.68 = 411.28 : x
  2. Step 2: Convert to fraction form
    644.08/888.68 = 411.28/x
  3. Step 3: Cross multiply
    644.08x = 888.68 × 411.28
  4. Step 4: Simplify right side
    644.08x = 365,496.31
  5. Step 5: Solve for x
    x = 365,496.31/644.08
  6. Step 6: Final answer
    x = 567.47

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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.