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Finding the Fourth Proportional to 961.92, 1,327.95 and 728.64

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Solution

The fourth proportional to 961.92, 1,327.95 and 728.64 is: 1,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.92 : 1,327.95 = 728.64 : x
  2. Step 2: Convert to fraction form
    961.92/1,327.95 = 728.64/x
  3. Step 3: Cross multiply
    961.92x = 1,327.95 × 728.64
  4. Step 4: Simplify right side
    961.92x = 967,597.49
  5. Step 5: Solve for x
    x = 967,597.49/961.92
  6. Step 6: Final answer
    x = 1,005.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.