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Finding the Fourth Proportional to 531.54, 733.34 and 321.78

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Solution

The fourth proportional to 531.54, 733.34 and 321.78 is: 443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.54 : 733.34 = 321.78 : x
  2. Step 2: Convert to fraction form
    531.54/733.34 = 321.78/x
  3. Step 3: Cross multiply
    531.54x = 733.34 × 321.78
  4. Step 4: Simplify right side
    531.54x = 235,974.15
  5. Step 5: Solve for x
    x = 235,974.15/531.54
  6. Step 6: Final answer
    x = 443.94

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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.