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Finding the Fourth Proportional to 531.69, 734.44 and 408.88

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Solution

The fourth proportional to 531.69, 734.44 and 408.88 is: 564.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.69 : 734.44 = 408.88 : x
  2. Step 2: Convert to fraction form
    531.69/734.44 = 408.88/x
  3. Step 3: Cross multiply
    531.69x = 734.44 × 408.88
  4. Step 4: Simplify right side
    531.69x = 300,294.97
  5. Step 5: Solve for x
    x = 300,294.97/531.69
  6. Step 6: Final answer
    x = 564.79

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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.