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Finding the Fourth Proportional to 804.42, 1,109.16 and 746.10

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Solution

The fourth proportional to 804.42, 1,109.16 and 746.10 is: 1,028.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.42 : 1,109.16 = 746.10 : x
  2. Step 2: Convert to fraction form
    804.42/1,109.16 = 746.10/x
  3. Step 3: Cross multiply
    804.42x = 1,109.16 × 746.10
  4. Step 4: Simplify right side
    804.42x = 827,544.28
  5. Step 5: Solve for x
    x = 827,544.28/804.42
  6. Step 6: Final answer
    x = 1,028.75

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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.