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Finding the Fourth Proportional to 793.94, 1,096.27 and 499.64

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Solution

The fourth proportional to 793.94, 1,096.27 and 499.64 is: 689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.94 : 1,096.27 = 499.64 : x
  2. Step 2: Convert to fraction form
    793.94/1,096.27 = 499.64/x
  3. Step 3: Cross multiply
    793.94x = 1,096.27 × 499.64
  4. Step 4: Simplify right side
    793.94x = 547,733.61
  5. Step 5: Solve for x
    x = 547,733.61/793.94
  6. Step 6: Final answer
    x = 689.90

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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.