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Finding the Fourth Proportional to 969.64, 1,335.40 and 791.78

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Solution

The fourth proportional to 969.64, 1,335.40 and 791.78 is: 1,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.64 : 1,335.40 = 791.78 : x
  2. Step 2: Convert to fraction form
    969.64/1,335.40 = 791.78/x
  3. Step 3: Cross multiply
    969.64x = 1,335.40 × 791.78
  4. Step 4: Simplify right side
    969.64x = 1,057,332.38
  5. Step 5: Solve for x
    x = 1,057,332.38/969.64
  6. Step 6: Final answer
    x = 1,090.44

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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.