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Finding the Fourth Proportional to 1,232.74, 1,709.90 and 1,188.42

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Solution

The fourth proportional to 1,232.74, 1,709.90 and 1,188.42 is: 1,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.74 : 1,709.90 = 1,188.42 : x
  2. Step 2: Convert to fraction form
    1,232.74/1,709.90 = 1,188.42/x
  3. Step 3: Cross multiply
    1,232.74x = 1,709.90 × 1,188.42
  4. Step 4: Simplify right side
    1,232.74x = 2,032,076.11
  5. Step 5: Solve for x
    x = 2,032,076.11/1,232.74
  6. Step 6: Final answer
    x = 1,648.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.