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Finding the Fourth Proportional to 1,722.94, 2,584.41 and 568.69

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Solution

The fourth proportional to 1,722.94, 2,584.41 and 568.69 is: 853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.94 : 2,584.41 = 568.69 : x
  2. Step 2: Convert to fraction form
    1,722.94/2,584.41 = 568.69/x
  3. Step 3: Cross multiply
    1,722.94x = 2,584.41 × 568.69
  4. Step 4: Simplify right side
    1,722.94x = 1,469,719.53
  5. Step 5: Solve for x
    x = 1,469,719.53/1,722.94
  6. Step 6: Final answer
    x = 853.03

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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.