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Finding the Fourth Proportional to 921.07, 1,266.94 and 742.92

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Solution

The fourth proportional to 921.07, 1,266.94 and 742.92 is: 1,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.07 : 1,266.94 = 742.92 : x
  2. Step 2: Convert to fraction form
    921.07/1,266.94 = 742.92/x
  3. Step 3: Cross multiply
    921.07x = 1,266.94 × 742.92
  4. Step 4: Simplify right side
    921.07x = 941,238.37
  5. Step 5: Solve for x
    x = 941,238.37/921.07
  6. Step 6: Final answer
    x = 1,021.90

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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.