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Finding the Fourth Proportional to 804.43, 1,109.42 and 638.38

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Solution

The fourth proportional to 804.43, 1,109.42 and 638.38 is: 880.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.43 : 1,109.42 = 638.38 : x
  2. Step 2: Convert to fraction form
    804.43/1,109.42 = 638.38/x
  3. Step 3: Cross multiply
    804.43x = 1,109.42 × 638.38
  4. Step 4: Simplify right side
    804.43x = 708,222.80
  5. Step 5: Solve for x
    x = 708,222.80/804.43
  6. Step 6: Final answer
    x = 880.41

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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.