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Finding the Fourth Proportional to 867.90, 1,195.11 and 819.84

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Solution

The fourth proportional to 867.90, 1,195.11 and 819.84 is: 1,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.90 : 1,195.11 = 819.84 : x
  2. Step 2: Convert to fraction form
    867.90/1,195.11 = 819.84/x
  3. Step 3: Cross multiply
    867.90x = 1,195.11 × 819.84
  4. Step 4: Simplify right side
    867.90x = 979,798.98
  5. Step 5: Solve for x
    x = 979,798.98/867.90
  6. Step 6: Final answer
    x = 1,128.93

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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.