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Finding the Fourth Proportional to 546.46, 754.12 and 310.41

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Solution

The fourth proportional to 546.46, 754.12 and 310.41 is: 428.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.46 : 754.12 = 310.41 : x
  2. Step 2: Convert to fraction form
    546.46/754.12 = 310.41/x
  3. Step 3: Cross multiply
    546.46x = 754.12 × 310.41
  4. Step 4: Simplify right side
    546.46x = 234,086.39
  5. Step 5: Solve for x
    x = 234,086.39/546.46
  6. Step 6: Final answer
    x = 428.37

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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.