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Finding the Fourth Proportional to 788.49, 1,093.74 and 746.97

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Solution

The fourth proportional to 788.49, 1,093.74 and 746.97 is: 1,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.49 : 1,093.74 = 746.97 : x
  2. Step 2: Convert to fraction form
    788.49/1,093.74 = 746.97/x
  3. Step 3: Cross multiply
    788.49x = 1,093.74 × 746.97
  4. Step 4: Simplify right side
    788.49x = 816,990.97
  5. Step 5: Solve for x
    x = 816,990.97/788.49
  6. Step 6: Final answer
    x = 1,036.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.