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Finding the Fourth Proportional to 546.75, 818.79 and 286.97

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Solution

The fourth proportional to 546.75, 818.79 and 286.97 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 818.79 = 286.97 : x
  2. Step 2: Convert to fraction form
    546.75/818.79 = 286.97/x
  3. Step 3: Cross multiply
    546.75x = 818.79 × 286.97
  4. Step 4: Simplify right side
    546.75x = 234,970.21
  5. Step 5: Solve for x
    x = 234,970.21/546.75
  6. Step 6: Final answer
    x = 429.76

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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.