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Finding the Fourth Proportional to 798.05, 1,189.01 and 786.78

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Solution

The fourth proportional to 798.05, 1,189.01 and 786.78 is: 1,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.05 : 1,189.01 = 786.78 : x
  2. Step 2: Convert to fraction form
    798.05/1,189.01 = 786.78/x
  3. Step 3: Cross multiply
    798.05x = 1,189.01 × 786.78
  4. Step 4: Simplify right side
    798.05x = 935,491.25
  5. Step 5: Solve for x
    x = 935,491.25/798.05
  6. Step 6: Final answer
    x = 1,172.22

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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.