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Finding the Fourth Proportional to 1,722.33, 2,584.50 and 682.43

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Solution

The fourth proportional to 1,722.33, 2,584.50 and 682.43 is: 1,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.33 : 2,584.50 = 682.43 : x
  2. Step 2: Convert to fraction form
    1,722.33/2,584.50 = 682.43/x
  3. Step 3: Cross multiply
    1,722.33x = 2,584.50 × 682.43
  4. Step 4: Simplify right side
    1,722.33x = 1,763,740.34
  5. Step 5: Solve for x
    x = 1,763,740.34/1,722.33
  6. Step 6: Final answer
    x = 1,024.04

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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.