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Finding the Fourth Proportional to 543, 813.78 and 234.78

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Solution

The fourth proportional to 543, 813.78 and 234.78 is: 351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    543 : 813.78 = 234.78 : x
  2. Step 2: Convert to fraction form
    543/813.78 = 234.78/x
  3. Step 3: Cross multiply
    543x = 813.78 × 234.78
  4. Step 4: Simplify right side
    543x = 191,059.27
  5. Step 5: Solve for x
    x = 191,059.27/543
  6. Step 6: Final answer
    x = 351.86

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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.