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Finding the Fourth Proportional to 961.92, 1,440.57 and 549.81

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Solution

The fourth proportional to 961.92, 1,440.57 and 549.81 is: 823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.92 : 1,440.57 = 549.81 : x
  2. Step 2: Convert to fraction form
    961.92/1,440.57 = 549.81/x
  3. Step 3: Cross multiply
    961.92x = 1,440.57 × 549.81
  4. Step 4: Simplify right side
    961.92x = 792,039.79
  5. Step 5: Solve for x
    x = 792,039.79/961.92
  6. Step 6: Final answer
    x = 823.39

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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.