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Finding the Fourth Proportional to 936.40, 1,396.82 and 828.40

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Solution

The fourth proportional to 936.40, 1,396.82 and 828.40 is: 1,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.40 : 1,396.82 = 828.40 : x
  2. Step 2: Convert to fraction form
    936.40/1,396.82 = 828.40/x
  3. Step 3: Cross multiply
    936.40x = 1,396.82 × 828.40
  4. Step 4: Simplify right side
    936.40x = 1,157,125.69
  5. Step 5: Solve for x
    x = 1,157,125.69/936.40
  6. Step 6: Final answer
    x = 1,235.72

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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.