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Finding the Fourth Proportional to 546.73, 818.71 and 415.96

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Solution

The fourth proportional to 546.73, 818.71 and 415.96 is: 622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.73 : 818.71 = 415.96 : x
  2. Step 2: Convert to fraction form
    546.73/818.71 = 415.96/x
  3. Step 3: Cross multiply
    546.73x = 818.71 × 415.96
  4. Step 4: Simplify right side
    546.73x = 340,547.52
  5. Step 5: Solve for x
    x = 340,547.52/546.73
  6. Step 6: Final answer
    x = 622.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.