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Finding the Fourth Proportional to 969.75, 1,338.50 and 596.97

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Solution

The fourth proportional to 969.75, 1,338.50 and 596.97 is: 823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.75 : 1,338.50 = 596.97 : x
  2. Step 2: Convert to fraction form
    969.75/1,338.50 = 596.97/x
  3. Step 3: Cross multiply
    969.75x = 1,338.50 × 596.97
  4. Step 4: Simplify right side
    969.75x = 799,041.36
  5. Step 5: Solve for x
    x = 799,041.36/969.75
  6. Step 6: Final answer
    x = 823.97

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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.