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Finding the Fourth Proportional to 829.30, 1,235.88 and 804.28

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Solution

The fourth proportional to 829.30, 1,235.88 and 804.28 is: 1,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.30 : 1,235.88 = 804.28 : x
  2. Step 2: Convert to fraction form
    829.30/1,235.88 = 804.28/x
  3. Step 3: Cross multiply
    829.30x = 1,235.88 × 804.28
  4. Step 4: Simplify right side
    829.30x = 993,993.57
  5. Step 5: Solve for x
    x = 993,993.57/829.30
  6. Step 6: Final answer
    x = 1,198.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.