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Finding the Fourth Proportional to 2,231.39, 3,347.24 and 770.36

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Solution

The fourth proportional to 2,231.39, 3,347.24 and 770.36 is: 1,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231.39 : 3,347.24 = 770.36 : x
  2. Step 2: Convert to fraction form
    2,231.39/3,347.24 = 770.36/x
  3. Step 3: Cross multiply
    2,231.39x = 3,347.24 × 770.36
  4. Step 4: Simplify right side
    2,231.39x = 2,578,559.22
  5. Step 5: Solve for x
    x = 2,578,559.22/2,231.39
  6. Step 6: Final answer
    x = 1,155.58

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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.