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Finding the Fourth Proportional to 969.35, 1,336.73 and 829.94

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Solution

The fourth proportional to 969.35, 1,336.73 and 829.94 is: 1,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.35 : 1,336.73 = 829.94 : x
  2. Step 2: Convert to fraction form
    969.35/1,336.73 = 829.94/x
  3. Step 3: Cross multiply
    969.35x = 1,336.73 × 829.94
  4. Step 4: Simplify right side
    969.35x = 1,109,394.86
  5. Step 5: Solve for x
    x = 1,109,394.86/969.35
  6. Step 6: Final answer
    x = 1,144.47

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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.