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Finding the Fourth Proportional to 1,181.36, 1,771.97 and 451.01

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Solution

The fourth proportional to 1,181.36, 1,771.97 and 451.01 is: 676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.36 : 1,771.97 = 451.01 : x
  2. Step 2: Convert to fraction form
    1,181.36/1,771.97 = 451.01/x
  3. Step 3: Cross multiply
    1,181.36x = 1,771.97 × 451.01
  4. Step 4: Simplify right side
    1,181.36x = 799,165.07
  5. Step 5: Solve for x
    x = 799,165.07/1,181.36
  6. Step 6: Final answer
    x = 676.48

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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.