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Finding the Fourth Proportional to 804.10, 1,201.07 and 641.32

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Solution

The fourth proportional to 804.10, 1,201.07 and 641.32 is: 957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.10 : 1,201.07 = 641.32 : x
  2. Step 2: Convert to fraction form
    804.10/1,201.07 = 641.32/x
  3. Step 3: Cross multiply
    804.10x = 1,201.07 × 641.32
  4. Step 4: Simplify right side
    804.10x = 770,270.21
  5. Step 5: Solve for x
    x = 770,270.21/804.10
  6. Step 6: Final answer
    x = 957.93

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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.