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Finding the Fourth Proportional to 965.09, 1,333.19 and 768.35

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Solution

The fourth proportional to 965.09, 1,333.19 and 768.35 is: 1,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.09 : 1,333.19 = 768.35 : x
  2. Step 2: Convert to fraction form
    965.09/1,333.19 = 768.35/x
  3. Step 3: Cross multiply
    965.09x = 1,333.19 × 768.35
  4. Step 4: Simplify right side
    965.09x = 1,024,356.54
  5. Step 5: Solve for x
    x = 1,024,356.54/965.09
  6. Step 6: Final answer
    x = 1,061.41

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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.