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Finding the Fourth Proportional to 1,365.61, 1,884.62 and 806.41

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Solution

The fourth proportional to 1,365.61, 1,884.62 and 806.41 is: 1,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.61 : 1,884.62 = 806.41 : x
  2. Step 2: Convert to fraction form
    1,365.61/1,884.62 = 806.41/x
  3. Step 3: Cross multiply
    1,365.61x = 1,884.62 × 806.41
  4. Step 4: Simplify right side
    1,365.61x = 1,519,765.65
  5. Step 5: Solve for x
    x = 1,519,765.65/1,365.61
  6. Step 6: Final answer
    x = 1,112.88

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1.5x scale

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.