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Finding the Fourth Proportional to 823.97, 1,135.81 and 613.83

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Solution

The fourth proportional to 823.97, 1,135.81 and 613.83 is: 846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.97 : 1,135.81 = 613.83 : x
  2. Step 2: Convert to fraction form
    823.97/1,135.81 = 613.83/x
  3. Step 3: Cross multiply
    823.97x = 1,135.81 × 613.83
  4. Step 4: Simplify right side
    823.97x = 697,189.44
  5. Step 5: Solve for x
    x = 697,189.44/823.97
  6. Step 6: Final answer
    x = 846.13

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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.