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Finding the Fourth Proportional to 1,228.69, 1,697.25 and 1,141.21

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Solution

The fourth proportional to 1,228.69, 1,697.25 and 1,141.21 is: 1,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.69 : 1,697.25 = 1,141.21 : x
  2. Step 2: Convert to fraction form
    1,228.69/1,697.25 = 1,141.21/x
  3. Step 3: Cross multiply
    1,228.69x = 1,697.25 × 1,141.21
  4. Step 4: Simplify right side
    1,228.69x = 1,936,918.67
  5. Step 5: Solve for x
    x = 1,936,918.67/1,228.69
  6. Step 6: Final answer
    x = 1,576.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.