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Finding the Fourth Proportional to 1,231.13, 1,698.81 and 699.82

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Solution

The fourth proportional to 1,231.13, 1,698.81 and 699.82 is: 965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.13 : 1,698.81 = 699.82 : x
  2. Step 2: Convert to fraction form
    1,231.13/1,698.81 = 699.82/x
  3. Step 3: Cross multiply
    1,231.13x = 1,698.81 × 699.82
  4. Step 4: Simplify right side
    1,231.13x = 1,188,861.21
  5. Step 5: Solve for x
    x = 1,188,861.21/1,231.13
  6. Step 6: Final answer
    x = 965.67

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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.