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Finding the Fourth Proportional to 867.84, 1,194.36 and 797.92

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Solution

The fourth proportional to 867.84, 1,194.36 and 797.92 is: 1,098.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.84 : 1,194.36 = 797.92 : x
  2. Step 2: Convert to fraction form
    867.84/1,194.36 = 797.92/x
  3. Step 3: Cross multiply
    867.84x = 1,194.36 × 797.92
  4. Step 4: Simplify right side
    867.84x = 953,003.73
  5. Step 5: Solve for x
    x = 953,003.73/867.84
  6. Step 6: Final answer
    x = 1,098.13

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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.