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Finding the Fourth Proportional to 678.18, 936.89 and 537.85

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Solution

The fourth proportional to 678.18, 936.89 and 537.85 is: 743.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.18 : 936.89 = 537.85 : x
  2. Step 2: Convert to fraction form
    678.18/936.89 = 537.85/x
  3. Step 3: Cross multiply
    678.18x = 936.89 × 537.85
  4. Step 4: Simplify right side
    678.18x = 503,906.29
  5. Step 5: Solve for x
    x = 503,906.29/678.18
  6. Step 6: Final answer
    x = 743.03

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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.