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Finding the Fourth Proportional to 919.45, 1,268.34 and 698.05

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Solution

The fourth proportional to 919.45, 1,268.34 and 698.05 is: 962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.45 : 1,268.34 = 698.05 : x
  2. Step 2: Convert to fraction form
    919.45/1,268.34 = 698.05/x
  3. Step 3: Cross multiply
    919.45x = 1,268.34 × 698.05
  4. Step 4: Simplify right side
    919.45x = 885,364.74
  5. Step 5: Solve for x
    x = 885,364.74/919.45
  6. Step 6: Final answer
    x = 962.93

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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.