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Finding the Fourth Proportional to 919.79, 1,268.21 and 698.36

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Solution

The fourth proportional to 919.79, 1,268.21 and 698.36 is: 962.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.79 : 1,268.21 = 698.36 : x
  2. Step 2: Convert to fraction form
    919.79/1,268.21 = 698.36/x
  3. Step 3: Cross multiply
    919.79x = 1,268.21 × 698.36
  4. Step 4: Simplify right side
    919.79x = 885,672.05
  5. Step 5: Solve for x
    x = 885,672.05/919.79
  6. Step 6: Final answer
    x = 962.91

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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.