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Finding the Fourth Proportional to 965.43, 1,447.23 and 380.81

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Solution

The fourth proportional to 965.43, 1,447.23 and 380.81 is: 570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.43 : 1,447.23 = 380.81 : x
  2. Step 2: Convert to fraction form
    965.43/1,447.23 = 380.81/x
  3. Step 3: Cross multiply
    965.43x = 1,447.23 × 380.81
  4. Step 4: Simplify right side
    965.43x = 551,112.42
  5. Step 5: Solve for x
    x = 551,112.42/965.43
  6. Step 6: Final answer
    x = 570.85

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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.