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Finding the Fourth Proportional to 961.54, 1,450.30 and 847.41

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Solution

The fourth proportional to 961.54, 1,450.30 and 847.41 is: 1,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.54 : 1,450.30 = 847.41 : x
  2. Step 2: Convert to fraction form
    961.54/1,450.30 = 847.41/x
  3. Step 3: Cross multiply
    961.54x = 1,450.30 × 847.41
  4. Step 4: Simplify right side
    961.54x = 1,228,998.72
  5. Step 5: Solve for x
    x = 1,228,998.72/961.54
  6. Step 6: Final answer
    x = 1,278.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.