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Finding the Fourth Proportional to 804.36, 1,101.68 and 757.07

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Solution

The fourth proportional to 804.36, 1,101.68 and 757.07 is: 1,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.36 : 1,101.68 = 757.07 : x
  2. Step 2: Convert to fraction form
    804.36/1,101.68 = 757.07/x
  3. Step 3: Cross multiply
    804.36x = 1,101.68 × 757.07
  4. Step 4: Simplify right side
    804.36x = 834,039.58
  5. Step 5: Solve for x
    x = 834,039.58/804.36
  6. Step 6: Final answer
    x = 1,036.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.