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Finding the Fourth Proportional to 965.45, 1,330.94 and 832.25

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Solution

The fourth proportional to 965.45, 1,330.94 and 832.25 is: 1,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.45 : 1,330.94 = 832.25 : x
  2. Step 2: Convert to fraction form
    965.45/1,330.94 = 832.25/x
  3. Step 3: Cross multiply
    965.45x = 1,330.94 × 832.25
  4. Step 4: Simplify right side
    965.45x = 1,107,680.22
  5. Step 5: Solve for x
    x = 1,107,680.22/965.45
  6. Step 6: Final answer
    x = 1,147.32

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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.