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Finding the Fourth Proportional to 1,181.43, 1,770.75 and 694.80

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Solution

The fourth proportional to 1,181.43, 1,770.75 and 694.80 is: 1,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.43 : 1,770.75 = 694.80 : x
  2. Step 2: Convert to fraction form
    1,181.43/1,770.75 = 694.80/x
  3. Step 3: Cross multiply
    1,181.43x = 1,770.75 × 694.80
  4. Step 4: Simplify right side
    1,181.43x = 1,230,317.10
  5. Step 5: Solve for x
    x = 1,230,317.10/1,181.43
  6. Step 6: Final answer
    x = 1,041.38

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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.