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Finding the Fourth Proportional to 991.46, 1,487.54 and 443.60

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Solution

The fourth proportional to 991.46, 1,487.54 and 443.60 is: 665.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.46 : 1,487.54 = 443.60 : x
  2. Step 2: Convert to fraction form
    991.46/1,487.54 = 443.60/x
  3. Step 3: Cross multiply
    991.46x = 1,487.54 × 443.60
  4. Step 4: Simplify right side
    991.46x = 659,872.74
  5. Step 5: Solve for x
    x = 659,872.74/991.46
  6. Step 6: Final answer
    x = 665.56

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