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Finding the Fourth Proportional to 798.50, 1,202.81 and 738.38

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Solution

The fourth proportional to 798.50, 1,202.81 and 738.38 is: 1,112.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.50 : 1,202.81 = 738.38 : x
  2. Step 2: Convert to fraction form
    798.50/1,202.81 = 738.38/x
  3. Step 3: Cross multiply
    798.50x = 1,202.81 × 738.38
  4. Step 4: Simplify right side
    798.50x = 888,121.14
  5. Step 5: Solve for x
    x = 888,121.14/798.50
  6. Step 6: Final answer
    x = 1,112.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.