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Finding the Fourth Proportional to 1,722.78, 2,584.14 and 568.50

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Solution

The fourth proportional to 1,722.78, 2,584.14 and 568.50 is: 852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.78 : 2,584.14 = 568.50 : x
  2. Step 2: Convert to fraction form
    1,722.78/2,584.14 = 568.50/x
  3. Step 3: Cross multiply
    1,722.78x = 2,584.14 × 568.50
  4. Step 4: Simplify right side
    1,722.78x = 1,469,083.59
  5. Step 5: Solve for x
    x = 1,469,083.59/1,722.78
  6. Step 6: Final answer
    x = 852.74

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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.