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Finding the Fourth Proportional to 991.58, 1,486.82 and 443.48

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Solution

The fourth proportional to 991.58, 1,486.82 and 443.48 is: 664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.58 : 1,486.82 = 443.48 : x
  2. Step 2: Convert to fraction form
    991.58/1,486.82 = 443.48/x
  3. Step 3: Cross multiply
    991.58x = 1,486.82 × 443.48
  4. Step 4: Simplify right side
    991.58x = 659,368.61
  5. Step 5: Solve for x
    x = 659,368.61/991.58
  6. Step 6: Final answer
    x = 664.97

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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.