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Finding the Fourth Proportional to 1,440.37, 1,987.60 and 850.79

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Solution

The fourth proportional to 1,440.37, 1,987.60 and 850.79 is: 1,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.37 : 1,987.60 = 850.79 : x
  2. Step 2: Convert to fraction form
    1,440.37/1,987.60 = 850.79/x
  3. Step 3: Cross multiply
    1,440.37x = 1,987.60 × 850.79
  4. Step 4: Simplify right side
    1,440.37x = 1,691,030.20
  5. Step 5: Solve for x
    x = 1,691,030.20/1,440.37
  6. Step 6: Final answer
    x = 1,174.02

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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.