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Finding the Fourth Proportional to 792.99, 1,189.40 and 208.05

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Solution

The fourth proportional to 792.99, 1,189.40 and 208.05 is: 312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.99 : 1,189.40 = 208.05 : x
  2. Step 2: Convert to fraction form
    792.99/1,189.40 = 208.05/x
  3. Step 3: Cross multiply
    792.99x = 1,189.40 × 208.05
  4. Step 4: Simplify right side
    792.99x = 247,455.98
  5. Step 5: Solve for x
    x = 247,455.98/792.99
  6. Step 6: Final answer
    x = 312.05

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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.