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Finding the Fourth Proportional to 829.64, 1,243.32 and 396.02

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Solution

The fourth proportional to 829.64, 1,243.32 and 396.02 is: 593.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.64 : 1,243.32 = 396.02 : x
  2. Step 2: Convert to fraction form
    829.64/1,243.32 = 396.02/x
  3. Step 3: Cross multiply
    829.64x = 1,243.32 × 396.02
  4. Step 4: Simplify right side
    829.64x = 492,379.59
  5. Step 5: Solve for x
    x = 492,379.59/829.64
  6. Step 6: Final answer
    x = 593.49

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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.