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Finding the Fourth Proportional to 1,087.22, 1,630.83 and 764.03

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Solution

The fourth proportional to 1,087.22, 1,630.83 and 764.03 is: 1,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.22 : 1,630.83 = 764.03 : x
  2. Step 2: Convert to fraction form
    1,087.22/1,630.83 = 764.03/x
  3. Step 3: Cross multiply
    1,087.22x = 1,630.83 × 764.03
  4. Step 4: Simplify right side
    1,087.22x = 1,246,003.04
  5. Step 5: Solve for x
    x = 1,246,003.04/1,087.22
  6. Step 6: Final answer
    x = 1,146.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.