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Finding the Fourth Proportional to 1,449.14, 1,998.90 and 859.26

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Solution

The fourth proportional to 1,449.14, 1,998.90 and 859.26 is: 1,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.14 : 1,998.90 = 859.26 : x
  2. Step 2: Convert to fraction form
    1,449.14/1,998.90 = 859.26/x
  3. Step 3: Cross multiply
    1,449.14x = 1,998.90 × 859.26
  4. Step 4: Simplify right side
    1,449.14x = 1,717,574.81
  5. Step 5: Solve for x
    x = 1,717,574.81/1,449.14
  6. Step 6: Final answer
    x = 1,185.24

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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.