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Finding the Fourth Proportional to 802.36, 1,201.38 and 798.04

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Solution

The fourth proportional to 802.36, 1,201.38 and 798.04 is: 1,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.36 : 1,201.38 = 798.04 : x
  2. Step 2: Convert to fraction form
    802.36/1,201.38 = 798.04/x
  3. Step 3: Cross multiply
    802.36x = 1,201.38 × 798.04
  4. Step 4: Simplify right side
    802.36x = 958,749.30
  5. Step 5: Solve for x
    x = 958,749.30/802.36
  6. Step 6: Final answer
    x = 1,194.91

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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.