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Finding the Fourth Proportional to 1,940.73, 2,911.23 and 624.63

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Solution

The fourth proportional to 1,940.73, 2,911.23 and 624.63 is: 936.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940.73 : 2,911.23 = 624.63 : x
  2. Step 2: Convert to fraction form
    1,940.73/2,911.23 = 624.63/x
  3. Step 3: Cross multiply
    1,940.73x = 2,911.23 × 624.63
  4. Step 4: Simplify right side
    1,940.73x = 1,818,441.59
  5. Step 5: Solve for x
    x = 1,818,441.59/1,940.73
  6. Step 6: Final answer
    x = 936.99

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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.