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Finding the Fourth Proportional to 531.21, 733.74 and 408.36

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Solution

The fourth proportional to 531.21, 733.74 and 408.36 is: 564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.21 : 733.74 = 408.36 : x
  2. Step 2: Convert to fraction form
    531.21/733.74 = 408.36/x
  3. Step 3: Cross multiply
    531.21x = 733.74 × 408.36
  4. Step 4: Simplify right side
    531.21x = 299,630.07
  5. Step 5: Solve for x
    x = 299,630.07/531.21
  6. Step 6: Final answer
    x = 564.05

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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.