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Finding the Fourth Proportional to 965.58, 1,447.09 and 438.09

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Solution

The fourth proportional to 965.58, 1,447.09 and 438.09 is: 656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.58 : 1,447.09 = 438.09 : x
  2. Step 2: Convert to fraction form
    965.58/1,447.09 = 438.09/x
  3. Step 3: Cross multiply
    965.58x = 1,447.09 × 438.09
  4. Step 4: Simplify right side
    965.58x = 633,955.66
  5. Step 5: Solve for x
    x = 633,955.66/965.58
  6. Step 6: Final answer
    x = 656.55

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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.