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Finding the Fourth Proportional to 829.92, 1,237.96 and 801.48

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Solution

The fourth proportional to 829.92, 1,237.96 and 801.48 is: 1,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.92 : 1,237.96 = 801.48 : x
  2. Step 2: Convert to fraction form
    829.92/1,237.96 = 801.48/x
  3. Step 3: Cross multiply
    829.92x = 1,237.96 × 801.48
  4. Step 4: Simplify right side
    829.92x = 992,200.18
  5. Step 5: Solve for x
    x = 992,200.18/829.92
  6. Step 6: Final answer
    x = 1,195.54

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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.