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Finding the Fourth Proportional to 893.40, 1,232.89 and 544.09

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Solution

The fourth proportional to 893.40, 1,232.89 and 544.09 is: 750.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.40 : 1,232.89 = 544.09 : x
  2. Step 2: Convert to fraction form
    893.40/1,232.89 = 544.09/x
  3. Step 3: Cross multiply
    893.40x = 1,232.89 × 544.09
  4. Step 4: Simplify right side
    893.40x = 670,796.96
  5. Step 5: Solve for x
    x = 670,796.96/893.40
  6. Step 6: Final answer
    x = 750.84

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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.