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Finding the Fourth Proportional to 961.41, 1,439.78 and 549.29

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Solution

The fourth proportional to 961.41, 1,439.78 and 549.29 is: 822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.41 : 1,439.78 = 549.29 : x
  2. Step 2: Convert to fraction form
    961.41/1,439.78 = 549.29/x
  3. Step 3: Cross multiply
    961.41x = 1,439.78 × 549.29
  4. Step 4: Simplify right side
    961.41x = 790,861.95
  5. Step 5: Solve for x
    x = 790,861.95/961.41
  6. Step 6: Final answer
    x = 822.61

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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.