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Finding the Fourth Proportional to 829.73, 1,238.16 and 737.69

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Solution

The fourth proportional to 829.73, 1,238.16 and 737.69 is: 1,100.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.73 : 1,238.16 = 737.69 : x
  2. Step 2: Convert to fraction form
    829.73/1,238.16 = 737.69/x
  3. Step 3: Cross multiply
    829.73x = 1,238.16 × 737.69
  4. Step 4: Simplify right side
    829.73x = 913,372.06
  5. Step 5: Solve for x
    x = 913,372.06/829.73
  6. Step 6: Final answer
    x = 1,100.81

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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.