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Finding the Fourth Proportional to 1,090.81, 1,627 and 926.65

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Solution

The fourth proportional to 1,090.81, 1,627 and 926.65 is: 1,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.81 : 1,627 = 926.65 : x
  2. Step 2: Convert to fraction form
    1,090.81/1,627 = 926.65/x
  3. Step 3: Cross multiply
    1,090.81x = 1,627 × 926.65
  4. Step 4: Simplify right side
    1,090.81x = 1,507,659.55
  5. Step 5: Solve for x
    x = 1,507,659.55/1,090.81
  6. Step 6: Final answer
    x = 1,382.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.