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Finding the Fourth Proportional to 965.40, 1,330.56 and 744

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Solution

The fourth proportional to 965.40, 1,330.56 and 744 is: 1,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.40 : 1,330.56 = 744 : x
  2. Step 2: Convert to fraction form
    965.40/1,330.56 = 744/x
  3. Step 3: Cross multiply
    965.40x = 1,330.56 × 744
  4. Step 4: Simplify right side
    965.40x = 989,936.64
  5. Step 5: Solve for x
    x = 989,936.64/965.40
  6. Step 6: Final answer
    x = 1,025.42

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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.