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Finding the Fourth Proportional to 1,724.64, 2,586.97 and 629.09

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Solution

The fourth proportional to 1,724.64, 2,586.97 and 629.09 is: 943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.64 : 2,586.97 = 629.09 : x
  2. Step 2: Convert to fraction form
    1,724.64/2,586.97 = 629.09/x
  3. Step 3: Cross multiply
    1,724.64x = 2,586.97 × 629.09
  4. Step 4: Simplify right side
    1,724.64x = 1,627,430.97
  5. Step 5: Solve for x
    x = 1,627,430.97/1,724.64
  6. Step 6: Final answer
    x = 943.63

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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.