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Finding the Fourth Proportional to 1,213.51, 1,817.49 and 725.56

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Solution

The fourth proportional to 1,213.51, 1,817.49 and 725.56 is: 1,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.51 : 1,817.49 = 725.56 : x
  2. Step 2: Convert to fraction form
    1,213.51/1,817.49 = 725.56/x
  3. Step 3: Cross multiply
    1,213.51x = 1,817.49 × 725.56
  4. Step 4: Simplify right side
    1,213.51x = 1,318,698.04
  5. Step 5: Solve for x
    x = 1,318,698.04/1,213.51
  6. Step 6: Final answer
    x = 1,086.68

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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.