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Finding the Fourth Proportional to 980.83, 1,353.68 and 823.29

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Solution

The fourth proportional to 980.83, 1,353.68 and 823.29 is: 1,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.83 : 1,353.68 = 823.29 : x
  2. Step 2: Convert to fraction form
    980.83/1,353.68 = 823.29/x
  3. Step 3: Cross multiply
    980.83x = 1,353.68 × 823.29
  4. Step 4: Simplify right side
    980.83x = 1,114,471.21
  5. Step 5: Solve for x
    x = 1,114,471.21/980.83
  6. Step 6: Final answer
    x = 1,136.25

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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.