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Finding the Fourth Proportional to 963.19, 1,443.99 and 443.08

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Solution

The fourth proportional to 963.19, 1,443.99 and 443.08 is: 664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.19 : 1,443.99 = 443.08 : x
  2. Step 2: Convert to fraction form
    963.19/1,443.99 = 443.08/x
  3. Step 3: Cross multiply
    963.19x = 1,443.99 × 443.08
  4. Step 4: Simplify right side
    963.19x = 639,803.09
  5. Step 5: Solve for x
    x = 639,803.09/963.19
  6. Step 6: Final answer
    x = 664.25

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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.