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Finding the Fourth Proportional to 964.09, 1,321.76 and 946.58

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Solution

The fourth proportional to 964.09, 1,321.76 and 946.58 is: 1,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.09 : 1,321.76 = 946.58 : x
  2. Step 2: Convert to fraction form
    964.09/1,321.76 = 946.58/x
  3. Step 3: Cross multiply
    964.09x = 1,321.76 × 946.58
  4. Step 4: Simplify right side
    964.09x = 1,251,147.34
  5. Step 5: Solve for x
    x = 1,251,147.34/964.09
  6. Step 6: Final answer
    x = 1,297.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.