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Finding the Fourth Proportional to 921.56, 1,375.60 and 812.21

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Solution

The fourth proportional to 921.56, 1,375.60 and 812.21 is: 1,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.56 : 1,375.60 = 812.21 : x
  2. Step 2: Convert to fraction form
    921.56/1,375.60 = 812.21/x
  3. Step 3: Cross multiply
    921.56x = 1,375.60 × 812.21
  4. Step 4: Simplify right side
    921.56x = 1,117,276.08
  5. Step 5: Solve for x
    x = 1,117,276.08/921.56
  6. Step 6: Final answer
    x = 1,212.37

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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.