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Finding the Fourth Proportional to 969.95, 1,338.09 and 596.78

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Solution

The fourth proportional to 969.95, 1,338.09 and 596.78 is: 823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.95 : 1,338.09 = 596.78 : x
  2. Step 2: Convert to fraction form
    969.95/1,338.09 = 596.78/x
  3. Step 3: Cross multiply
    969.95x = 1,338.09 × 596.78
  4. Step 4: Simplify right side
    969.95x = 798,538.66
  5. Step 5: Solve for x
    x = 798,538.66/969.95
  6. Step 6: Final answer
    x = 823.28

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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.