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Finding the Fourth Proportional to 1,249.20, 1,723.86 and 689.63

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Solution

The fourth proportional to 1,249.20, 1,723.86 and 689.63 is: 951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.20 : 1,723.86 = 689.63 : x
  2. Step 2: Convert to fraction form
    1,249.20/1,723.86 = 689.63/x
  3. Step 3: Cross multiply
    1,249.20x = 1,723.86 × 689.63
  4. Step 4: Simplify right side
    1,249.20x = 1,188,821.26
  5. Step 5: Solve for x
    x = 1,188,821.26/1,249.20
  6. Step 6: Final answer
    x = 951.67

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1.5x scale

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.