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Finding the Fourth Proportional to 991.35, 1,487.43 and 443.43

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Solution

The fourth proportional to 991.35, 1,487.43 and 443.43 is: 665.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.35 : 1,487.43 = 443.43 : x
  2. Step 2: Convert to fraction form
    991.35/1,487.43 = 443.43/x
  3. Step 3: Cross multiply
    991.35x = 1,487.43 × 443.43
  4. Step 4: Simplify right side
    991.35x = 659,571.08
  5. Step 5: Solve for x
    x = 659,571.08/991.35
  6. Step 6: Final answer
    x = 665.33

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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.