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Finding the Fourth Proportional to 964.75, 1,331.39 and 699.32

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Solution

The fourth proportional to 964.75, 1,331.39 and 699.32 is: 965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.75 : 1,331.39 = 699.32 : x
  2. Step 2: Convert to fraction form
    964.75/1,331.39 = 699.32/x
  3. Step 3: Cross multiply
    964.75x = 1,331.39 × 699.32
  4. Step 4: Simplify right side
    964.75x = 931,067.65
  5. Step 5: Solve for x
    x = 931,067.65/964.75
  6. Step 6: Final answer
    x = 965.09

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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.