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Finding the Fourth Proportional to 789.92, 1,185.28 and 356.98

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Solution

The fourth proportional to 789.92, 1,185.28 and 356.98 is: 535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.92 : 1,185.28 = 356.98 : x
  2. Step 2: Convert to fraction form
    789.92/1,185.28 = 356.98/x
  3. Step 3: Cross multiply
    789.92x = 1,185.28 × 356.98
  4. Step 4: Simplify right side
    789.92x = 423,121.25
  5. Step 5: Solve for x
    x = 423,121.25/789.92
  6. Step 6: Final answer
    x = 535.65

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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.