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Finding the Fourth Proportional to 921.31, 1,375.22 and 811.96

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Solution

The fourth proportional to 921.31, 1,375.22 and 811.96 is: 1,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.31 : 1,375.22 = 811.96 : x
  2. Step 2: Convert to fraction form
    921.31/1,375.22 = 811.96/x
  3. Step 3: Cross multiply
    921.31x = 1,375.22 × 811.96
  4. Step 4: Simplify right side
    921.31x = 1,116,623.63
  5. Step 5: Solve for x
    x = 1,116,623.63/921.31
  6. Step 6: Final answer
    x = 1,212.00

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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.