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Finding the Fourth Proportional to 1,485, 2,228.22 and 997.09

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Solution

The fourth proportional to 1,485, 2,228.22 and 997.09 is: 1,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485 : 2,228.22 = 997.09 : x
  2. Step 2: Convert to fraction form
    1,485/2,228.22 = 997.09/x
  3. Step 3: Cross multiply
    1,485x = 2,228.22 × 997.09
  4. Step 4: Simplify right side
    1,485x = 2,221,730.31
  5. Step 5: Solve for x
    x = 2,221,730.31/1,485
  6. Step 6: Final answer
    x = 1,496.11

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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.