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Finding the Fourth Proportional to 1,643.58, 2,268.57 and 1,014.65

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Solution

The fourth proportional to 1,643.58, 2,268.57 and 1,014.65 is: 1,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.58 : 2,268.57 = 1,014.65 : x
  2. Step 2: Convert to fraction form
    1,643.58/2,268.57 = 1,014.65/x
  3. Step 3: Cross multiply
    1,643.58x = 2,268.57 × 1,014.65
  4. Step 4: Simplify right side
    1,643.58x = 2,301,804.55
  5. Step 5: Solve for x
    x = 2,301,804.55/1,643.58
  6. Step 6: Final answer
    x = 1,400.48

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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.