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Finding the Fourth Proportional to 1,181.34, 1,629.41 and 1,003.07

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Solution

The fourth proportional to 1,181.34, 1,629.41 and 1,003.07 is: 1,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.34 : 1,629.41 = 1,003.07 : x
  2. Step 2: Convert to fraction form
    1,181.34/1,629.41 = 1,003.07/x
  3. Step 3: Cross multiply
    1,181.34x = 1,629.41 × 1,003.07
  4. Step 4: Simplify right side
    1,181.34x = 1,634,416.99
  5. Step 5: Solve for x
    x = 1,634,416.99/1,181.34
  6. Step 6: Final answer
    x = 1,383.53

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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.