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Finding the Fourth Proportional to 799.91, 1,199.90 and 389.39

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Solution

The fourth proportional to 799.91, 1,199.90 and 389.39 is: 584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.91 : 1,199.90 = 389.39 : x
  2. Step 2: Convert to fraction form
    799.91/1,199.90 = 389.39/x
  3. Step 3: Cross multiply
    799.91x = 1,199.90 × 389.39
  4. Step 4: Simplify right side
    799.91x = 467,228.59
  5. Step 5: Solve for x
    x = 467,228.59/799.91
  6. Step 6: Final answer
    x = 584.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.