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Finding the Fourth Proportional to 1,028.31, 1,415.50 and 897.09

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Solution

The fourth proportional to 1,028.31, 1,415.50 and 897.09 is: 1,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.31 : 1,415.50 = 897.09 : x
  2. Step 2: Convert to fraction form
    1,028.31/1,415.50 = 897.09/x
  3. Step 3: Cross multiply
    1,028.31x = 1,415.50 × 897.09
  4. Step 4: Simplify right side
    1,028.31x = 1,269,819.33
  5. Step 5: Solve for x
    x = 1,269,819.33/1,028.31
  6. Step 6: Final answer
    x = 1,234.87

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Why These Related Problems?

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