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Finding the Fourth Proportional to 823.35, 1,135.56 and 699.42

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Solution

The fourth proportional to 823.35, 1,135.56 and 699.42 is: 964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.35 : 1,135.56 = 699.42 : x
  2. Step 2: Convert to fraction form
    823.35/1,135.56 = 699.42/x
  3. Step 3: Cross multiply
    823.35x = 1,135.56 × 699.42
  4. Step 4: Simplify right side
    823.35x = 794,227.70
  5. Step 5: Solve for x
    x = 794,227.70/823.35
  6. Step 6: Final answer
    x = 964.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.