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Finding the Fourth Proportional to 1,676.67, 2,512.22 and 580.43

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Solution

The fourth proportional to 1,676.67, 2,512.22 and 580.43 is: 869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.67 : 2,512.22 = 580.43 : x
  2. Step 2: Convert to fraction form
    1,676.67/2,512.22 = 580.43/x
  3. Step 3: Cross multiply
    1,676.67x = 2,512.22 × 580.43
  4. Step 4: Simplify right side
    1,676.67x = 1,458,171.23
  5. Step 5: Solve for x
    x = 1,458,171.23/1,676.67
  6. Step 6: Final answer
    x = 869.68

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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.