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Finding the Fourth Proportional to 1,249.22, 1,723.90 and 689.67

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Solution

The fourth proportional to 1,249.22, 1,723.90 and 689.67 is: 951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.22 : 1,723.90 = 689.67 : x
  2. Step 2: Convert to fraction form
    1,249.22/1,723.90 = 689.67/x
  3. Step 3: Cross multiply
    1,249.22x = 1,723.90 × 689.67
  4. Step 4: Simplify right side
    1,249.22x = 1,188,929.44
  5. Step 5: Solve for x
    x = 1,188,929.44/1,249.22
  6. Step 6: Final answer
    x = 951.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.