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Finding the Fourth Proportional to 921.44, 1,375.38 and 812.08

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Solution

The fourth proportional to 921.44, 1,375.38 and 812.08 is: 1,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.44 : 1,375.38 = 812.08 : x
  2. Step 2: Convert to fraction form
    921.44/1,375.38 = 812.08/x
  3. Step 3: Cross multiply
    921.44x = 1,375.38 × 812.08
  4. Step 4: Simplify right side
    921.44x = 1,116,918.59
  5. Step 5: Solve for x
    x = 1,116,918.59/921.44
  6. Step 6: Final answer
    x = 1,212.14

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