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Finding the Fourth Proportional to 990.57, 1,367.91 and 843.15

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Solution

The fourth proportional to 990.57, 1,367.91 and 843.15 is: 1,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.57 : 1,367.91 = 843.15 : x
  2. Step 2: Convert to fraction form
    990.57/1,367.91 = 843.15/x
  3. Step 3: Cross multiply
    990.57x = 1,367.91 × 843.15
  4. Step 4: Simplify right side
    990.57x = 1,153,353.32
  5. Step 5: Solve for x
    x = 1,153,353.32/990.57
  6. Step 6: Final answer
    x = 1,164.33

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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.