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Finding the Fourth Proportional to 829.44, 1,144.80 and 801.36

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Solution

The fourth proportional to 829.44, 1,144.80 and 801.36 is: 1,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.44 : 1,144.80 = 801.36 : x
  2. Step 2: Convert to fraction form
    829.44/1,144.80 = 801.36/x
  3. Step 3: Cross multiply
    829.44x = 1,144.80 × 801.36
  4. Step 4: Simplify right side
    829.44x = 917,396.93
  5. Step 5: Solve for x
    x = 917,396.93/829.44
  6. Step 6: Final answer
    x = 1,106.04

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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.