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Finding the Fourth Proportional to 919.36, 1,268.16 and 803.20

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Solution

The fourth proportional to 919.36, 1,268.16 and 803.20 is: 1,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.36 : 1,268.16 = 803.20 : x
  2. Step 2: Convert to fraction form
    919.36/1,268.16 = 803.20/x
  3. Step 3: Cross multiply
    919.36x = 1,268.16 × 803.20
  4. Step 4: Simplify right side
    919.36x = 1,018,586.11
  5. Step 5: Solve for x
    x = 1,018,586.11/919.36
  6. Step 6: Final answer
    x = 1,107.93

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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.