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Finding the Fourth Proportional to 788.25, 1,085.82 and 737.22

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Solution

The fourth proportional to 788.25, 1,085.82 and 737.22 is: 1,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.25 : 1,085.82 = 737.22 : x
  2. Step 2: Convert to fraction form
    788.25/1,085.82 = 737.22/x
  3. Step 3: Cross multiply
    788.25x = 1,085.82 × 737.22
  4. Step 4: Simplify right side
    788.25x = 800,488.22
  5. Step 5: Solve for x
    x = 800,488.22/788.25
  6. Step 6: Final answer
    x = 1,015.53

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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.