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Finding the Fourth Proportional to 961.92, 1,435.88 and 884.80

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Solution

The fourth proportional to 961.92, 1,435.88 and 884.80 is: 1,320.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.92 : 1,435.88 = 884.80 : x
  2. Step 2: Convert to fraction form
    961.92/1,435.88 = 884.80/x
  3. Step 3: Cross multiply
    961.92x = 1,435.88 × 884.80
  4. Step 4: Simplify right side
    961.92x = 1,270,466.62
  5. Step 5: Solve for x
    x = 1,270,466.62/961.92
  6. Step 6: Final answer
    x = 1,320.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.