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Finding the Fourth Proportional to 1,605.73, 2,216.46 and 942.79

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Solution

The fourth proportional to 1,605.73, 2,216.46 and 942.79 is: 1,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.73 : 2,216.46 = 942.79 : x
  2. Step 2: Convert to fraction form
    1,605.73/2,216.46 = 942.79/x
  3. Step 3: Cross multiply
    1,605.73x = 2,216.46 × 942.79
  4. Step 4: Simplify right side
    1,605.73x = 2,089,656.32
  5. Step 5: Solve for x
    x = 2,089,656.32/1,605.73
  6. Step 6: Final answer
    x = 1,301.37

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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.