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Finding the Fourth Proportional to 546.66, 754.43 and 310.61

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Solution

The fourth proportional to 546.66, 754.43 and 310.61 is: 428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.66 : 754.43 = 310.61 : x
  2. Step 2: Convert to fraction form
    546.66/754.43 = 310.61/x
  3. Step 3: Cross multiply
    546.66x = 754.43 × 310.61
  4. Step 4: Simplify right side
    546.66x = 234,333.50
  5. Step 5: Solve for x
    x = 234,333.50/546.66
  6. Step 6: Final answer
    x = 428.66

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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.