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Finding the Fourth Proportional to 823.26, 1,135.40 and 699.24

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Solution

The fourth proportional to 823.26, 1,135.40 and 699.24 is: 964.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,135.40 = 699.24 : x
  2. Step 2: Convert to fraction form
    823.26/1,135.40 = 699.24/x
  3. Step 3: Cross multiply
    823.26x = 1,135.40 × 699.24
  4. Step 4: Simplify right side
    823.26x = 793,917.10
  5. Step 5: Solve for x
    x = 793,917.10/823.26
  6. Step 6: Final answer
    x = 964.36

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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.