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Finding the Fourth Proportional to 816.73, 1,117.44 and 813.29

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Solution

The fourth proportional to 816.73, 1,117.44 and 813.29 is: 1,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.73 : 1,117.44 = 813.29 : x
  2. Step 2: Convert to fraction form
    816.73/1,117.44 = 813.29/x
  3. Step 3: Cross multiply
    816.73x = 1,117.44 × 813.29
  4. Step 4: Simplify right side
    816.73x = 908,797.19
  5. Step 5: Solve for x
    x = 908,797.19/816.73
  6. Step 6: Final answer
    x = 1,112.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.