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Finding the Fourth Proportional to 1,365.98, 1,884.99 and 768.44

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Solution

The fourth proportional to 1,365.98, 1,884.99 and 768.44 is: 1,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.98 : 1,884.99 = 768.44 : x
  2. Step 2: Convert to fraction form
    1,365.98/1,884.99 = 768.44/x
  3. Step 3: Cross multiply
    1,365.98x = 1,884.99 × 768.44
  4. Step 4: Simplify right side
    1,365.98x = 1,448,501.72
  5. Step 5: Solve for x
    x = 1,448,501.72/1,365.98
  6. Step 6: Final answer
    x = 1,060.41

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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.