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Finding the Fourth Proportional to 873.01, 1,305.91 and 799.33

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Solution

The fourth proportional to 873.01, 1,305.91 and 799.33 is: 1,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.01 : 1,305.91 = 799.33 : x
  2. Step 2: Convert to fraction form
    873.01/1,305.91 = 799.33/x
  3. Step 3: Cross multiply
    873.01x = 1,305.91 × 799.33
  4. Step 4: Simplify right side
    873.01x = 1,043,853.04
  5. Step 5: Solve for x
    x = 1,043,853.04/873.01
  6. Step 6: Final answer
    x = 1,195.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.