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Finding the Fourth Proportional to 902.56, 1,244.42 and 745.82

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Solution

The fourth proportional to 902.56, 1,244.42 and 745.82 is: 1,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.56 : 1,244.42 = 745.82 : x
  2. Step 2: Convert to fraction form
    902.56/1,244.42 = 745.82/x
  3. Step 3: Cross multiply
    902.56x = 1,244.42 × 745.82
  4. Step 4: Simplify right side
    902.56x = 928,113.32
  5. Step 5: Solve for x
    x = 928,113.32/902.56
  6. Step 6: Final answer
    x = 1,028.31

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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.