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Finding the Fourth Proportional to 799.05, 1,195.63 and 485.58

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Solution

The fourth proportional to 799.05, 1,195.63 and 485.58 is: 726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.05 : 1,195.63 = 485.58 : x
  2. Step 2: Convert to fraction form
    799.05/1,195.63 = 485.58/x
  3. Step 3: Cross multiply
    799.05x = 1,195.63 × 485.58
  4. Step 4: Simplify right side
    799.05x = 580,572.80
  5. Step 5: Solve for x
    x = 580,572.80/799.05
  6. Step 6: Final answer
    x = 726.58

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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.