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Finding the Fourth Proportional to 1,231.44, 1,697.62 and 881.52

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Solution

The fourth proportional to 1,231.44, 1,697.62 and 881.52 is: 1,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.44 : 1,697.62 = 881.52 : x
  2. Step 2: Convert to fraction form
    1,231.44/1,697.62 = 881.52/x
  3. Step 3: Cross multiply
    1,231.44x = 1,697.62 × 881.52
  4. Step 4: Simplify right side
    1,231.44x = 1,496,485.98
  5. Step 5: Solve for x
    x = 1,496,485.98/1,231.44
  6. Step 6: Final answer
    x = 1,215.23

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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.