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Finding the Fourth Proportional to 546.83, 754.45 and 310.78

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Solution

The fourth proportional to 546.83, 754.45 and 310.78 is: 428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.83 : 754.45 = 310.78 : x
  2. Step 2: Convert to fraction form
    546.83/754.45 = 310.78/x
  3. Step 3: Cross multiply
    546.83x = 754.45 × 310.78
  4. Step 4: Simplify right side
    546.83x = 234,466.42
  5. Step 5: Solve for x
    x = 234,466.42/546.83
  6. Step 6: Final answer
    x = 428.77

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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.