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Finding the Fourth Proportional to 921.94, 1,268.50 and 797.20

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Solution

The fourth proportional to 921.94, 1,268.50 and 797.20 is: 1,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.94 : 1,268.50 = 797.20 : x
  2. Step 2: Convert to fraction form
    921.94/1,268.50 = 797.20/x
  3. Step 3: Cross multiply
    921.94x = 1,268.50 × 797.20
  4. Step 4: Simplify right side
    921.94x = 1,011,248.20
  5. Step 5: Solve for x
    x = 1,011,248.20/921.94
  6. Step 6: Final answer
    x = 1,096.87

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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.