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Finding the Fourth Proportional to 1,299.75, 1,949.73 and 478.26

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Solution

The fourth proportional to 1,299.75, 1,949.73 and 478.26 is: 717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.75 : 1,949.73 = 478.26 : x
  2. Step 2: Convert to fraction form
    1,299.75/1,949.73 = 478.26/x
  3. Step 3: Cross multiply
    1,299.75x = 1,949.73 × 478.26
  4. Step 4: Simplify right side
    1,299.75x = 932,477.87
  5. Step 5: Solve for x
    x = 932,477.87/1,299.75
  6. Step 6: Final answer
    x = 717.43

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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.