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Finding the Fourth Proportional to 969.21, 1,338.45 and 828.51

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Solution

The fourth proportional to 969.21, 1,338.45 and 828.51 is: 1,144.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.21 : 1,338.45 = 828.51 : x
  2. Step 2: Convert to fraction form
    969.21/1,338.45 = 828.51/x
  3. Step 3: Cross multiply
    969.21x = 1,338.45 × 828.51
  4. Step 4: Simplify right side
    969.21x = 1,108,918.79
  5. Step 5: Solve for x
    x = 1,108,918.79/969.21
  6. Step 6: Final answer
    x = 1,144.15

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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.