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Finding the Fourth Proportional to 963.75, 1,446.17 and 450.75

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Solution

The fourth proportional to 963.75, 1,446.17 and 450.75 is: 676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.75 : 1,446.17 = 450.75 : x
  2. Step 2: Convert to fraction form
    963.75/1,446.17 = 450.75/x
  3. Step 3: Cross multiply
    963.75x = 1,446.17 × 450.75
  4. Step 4: Simplify right side
    963.75x = 651,861.13
  5. Step 5: Solve for x
    x = 651,861.13/963.75
  6. Step 6: Final answer
    x = 676.38

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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.