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Finding the Fourth Proportional to 804.44, 1,201.29 and 687.67

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Solution

The fourth proportional to 804.44, 1,201.29 and 687.67 is: 1,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.44 : 1,201.29 = 687.67 : x
  2. Step 2: Convert to fraction form
    804.44/1,201.29 = 687.67/x
  3. Step 3: Cross multiply
    804.44x = 1,201.29 × 687.67
  4. Step 4: Simplify right side
    804.44x = 826,081.65
  5. Step 5: Solve for x
    x = 826,081.65/804.44
  6. Step 6: Final answer
    x = 1,026.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.