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Finding the Fourth Proportional to 967.09, 1,448.06 and 659.55

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Solution

The fourth proportional to 967.09, 1,448.06 and 659.55 is: 987.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.09 : 1,448.06 = 659.55 : x
  2. Step 2: Convert to fraction form
    967.09/1,448.06 = 659.55/x
  3. Step 3: Cross multiply
    967.09x = 1,448.06 × 659.55
  4. Step 4: Simplify right side
    967.09x = 955,067.97
  5. Step 5: Solve for x
    x = 955,067.97/967.09
  6. Step 6: Final answer
    x = 987.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.