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Finding the Fourth Proportional to 1,168.73, 1,611.80 and 919.61

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Solution

The fourth proportional to 1,168.73, 1,611.80 and 919.61 is: 1,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.73 : 1,611.80 = 919.61 : x
  2. Step 2: Convert to fraction form
    1,168.73/1,611.80 = 919.61/x
  3. Step 3: Cross multiply
    1,168.73x = 1,611.80 × 919.61
  4. Step 4: Simplify right side
    1,168.73x = 1,482,214.74
  5. Step 5: Solve for x
    x = 1,482,214.74/1,168.73
  6. Step 6: Final answer
    x = 1,268.23

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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.