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Finding the Fourth Proportional to 1,444.62, 1,992.33 and 1,164.75

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Solution

The fourth proportional to 1,444.62, 1,992.33 and 1,164.75 is: 1,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.62 : 1,992.33 = 1,164.75 : x
  2. Step 2: Convert to fraction form
    1,444.62/1,992.33 = 1,164.75/x
  3. Step 3: Cross multiply
    1,444.62x = 1,992.33 × 1,164.75
  4. Step 4: Simplify right side
    1,444.62x = 2,320,566.37
  5. Step 5: Solve for x
    x = 2,320,566.37/1,444.62
  6. Step 6: Final answer
    x = 1,606.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.