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Finding the Fourth Proportional to 531.75, 733.69 and 310.73

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Solution

The fourth proportional to 531.75, 733.69 and 310.73 is: 428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.75 : 733.69 = 310.73 : x
  2. Step 2: Convert to fraction form
    531.75/733.69 = 310.73/x
  3. Step 3: Cross multiply
    531.75x = 733.69 × 310.73
  4. Step 4: Simplify right side
    531.75x = 227,979.49
  5. Step 5: Solve for x
    x = 227,979.49/531.75
  6. Step 6: Final answer
    x = 428.73

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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.