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Finding the Fourth Proportional to 829.64, 1,243.32 and 798.08

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Solution

The fourth proportional to 829.64, 1,243.32 and 798.08 is: 1,196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.64 : 1,243.32 = 798.08 : x
  2. Step 2: Convert to fraction form
    829.64/1,243.32 = 798.08/x
  3. Step 3: Cross multiply
    829.64x = 1,243.32 × 798.08
  4. Step 4: Simplify right side
    829.64x = 992,268.83
  5. Step 5: Solve for x
    x = 992,268.83/829.64
  6. Step 6: Final answer
    x = 1,196.02

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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.