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Finding the Fourth Proportional to 822.83, 1,141.32 and 793.28

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Solution

The fourth proportional to 822.83, 1,141.32 and 793.28 is: 1,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.83 : 1,141.32 = 793.28 : x
  2. Step 2: Convert to fraction form
    822.83/1,141.32 = 793.28/x
  3. Step 3: Cross multiply
    822.83x = 1,141.32 × 793.28
  4. Step 4: Simplify right side
    822.83x = 905,386.33
  5. Step 5: Solve for x
    x = 905,386.33/822.83
  6. Step 6: Final answer
    x = 1,100.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.