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Finding the Fourth Proportional to 963.14, 1,444.80 and 443.15

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Solution

The fourth proportional to 963.14, 1,444.80 and 443.15 is: 664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.14 : 1,444.80 = 443.15 : x
  2. Step 2: Convert to fraction form
    963.14/1,444.80 = 443.15/x
  3. Step 3: Cross multiply
    963.14x = 1,444.80 × 443.15
  4. Step 4: Simplify right side
    963.14x = 640,262.98
  5. Step 5: Solve for x
    x = 640,262.98/963.14
  6. Step 6: Final answer
    x = 664.77

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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.