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Finding the Fourth Proportional to 1,181.35, 1,770.68 and 919.41

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Solution

The fourth proportional to 1,181.35, 1,770.68 and 919.41 is: 1,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.35 : 1,770.68 = 919.41 : x
  2. Step 2: Convert to fraction form
    1,181.35/1,770.68 = 919.41/x
  3. Step 3: Cross multiply
    1,181.35x = 1,770.68 × 919.41
  4. Step 4: Simplify right side
    1,181.35x = 1,627,983.03
  5. Step 5: Solve for x
    x = 1,627,983.03/1,181.35
  6. Step 6: Final answer
    x = 1,378.07

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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.