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Finding the Fourth Proportional to 963.21, 1,444.21 and 415.25

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Solution

The fourth proportional to 963.21, 1,444.21 and 415.25 is: 622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.21 : 1,444.21 = 415.25 : x
  2. Step 2: Convert to fraction form
    963.21/1,444.21 = 415.25/x
  3. Step 3: Cross multiply
    963.21x = 1,444.21 × 415.25
  4. Step 4: Simplify right side
    963.21x = 599,708.20
  5. Step 5: Solve for x
    x = 599,708.20/963.21
  6. Step 6: Final answer
    x = 622.61

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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.