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Finding the Fourth Proportional to 823.30, 1,135.83 and 768.22

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Solution

The fourth proportional to 823.30, 1,135.83 and 768.22 is: 1,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.30 : 1,135.83 = 768.22 : x
  2. Step 2: Convert to fraction form
    823.30/1,135.83 = 768.22/x
  3. Step 3: Cross multiply
    823.30x = 1,135.83 × 768.22
  4. Step 4: Simplify right side
    823.30x = 872,567.32
  5. Step 5: Solve for x
    x = 872,567.32/823.30
  6. Step 6: Final answer
    x = 1,059.84

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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.