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Finding the Fourth Proportional to 799.94, 1,200.26 and 389.47

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Solution

The fourth proportional to 799.94, 1,200.26 and 389.47 is: 584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.94 : 1,200.26 = 389.47 : x
  2. Step 2: Convert to fraction form
    799.94/1,200.26 = 389.47/x
  3. Step 3: Cross multiply
    799.94x = 1,200.26 × 389.47
  4. Step 4: Simplify right side
    799.94x = 467,465.26
  5. Step 5: Solve for x
    x = 467,465.26/799.94
  6. Step 6: Final answer
    x = 584.38

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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.