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Finding the Fourth Proportional to 2,238.68, 3,357.36 and 777.56

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Solution

The fourth proportional to 2,238.68, 3,357.36 and 777.56 is: 1,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.68 : 3,357.36 = 777.56 : x
  2. Step 2: Convert to fraction form
    2,238.68/3,357.36 = 777.56/x
  3. Step 3: Cross multiply
    2,238.68x = 3,357.36 × 777.56
  4. Step 4: Simplify right side
    2,238.68x = 2,610,548.84
  5. Step 5: Solve for x
    x = 2,610,548.84/2,238.68
  6. Step 6: Final answer
    x = 1,166.11

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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.