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Finding the Fourth Proportional to 960.32, 1,326.36 and 769.35

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Solution

The fourth proportional to 960.32, 1,326.36 and 769.35 is: 1,062.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.32 : 1,326.36 = 769.35 : x
  2. Step 2: Convert to fraction form
    960.32/1,326.36 = 769.35/x
  3. Step 3: Cross multiply
    960.32x = 1,326.36 × 769.35
  4. Step 4: Simplify right side
    960.32x = 1,020,435.07
  5. Step 5: Solve for x
    x = 1,020,435.07/960.32
  6. Step 6: Final answer
    x = 1,062.60

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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.