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Finding the Fourth Proportional to 1,003.78, 1,512.36 and 906.39

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Solution

The fourth proportional to 1,003.78, 1,512.36 and 906.39 is: 1,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.78 : 1,512.36 = 906.39 : x
  2. Step 2: Convert to fraction form
    1,003.78/1,512.36 = 906.39/x
  3. Step 3: Cross multiply
    1,003.78x = 1,512.36 × 906.39
  4. Step 4: Simplify right side
    1,003.78x = 1,370,787.98
  5. Step 5: Solve for x
    x = 1,370,787.98/1,003.78
  6. Step 6: Final answer
    x = 1,365.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.