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Finding the Fourth Proportional to 963.27, 1,444.77 and 443.13

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Solution

The fourth proportional to 963.27, 1,444.77 and 443.13 is: 664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.27 : 1,444.77 = 443.13 : x
  2. Step 2: Convert to fraction form
    963.27/1,444.77 = 443.13/x
  3. Step 3: Cross multiply
    963.27x = 1,444.77 × 443.13
  4. Step 4: Simplify right side
    963.27x = 640,220.93
  5. Step 5: Solve for x
    x = 640,220.93/963.27
  6. Step 6: Final answer
    x = 664.63

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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.