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Finding the Fourth Proportional to 792.95, 1,189.49 and 207.95

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Solution

The fourth proportional to 792.95, 1,189.49 and 207.95 is: 311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.95 : 1,189.49 = 207.95 : x
  2. Step 2: Convert to fraction form
    792.95/1,189.49 = 207.95/x
  3. Step 3: Cross multiply
    792.95x = 1,189.49 × 207.95
  4. Step 4: Simplify right side
    792.95x = 247,357.94
  5. Step 5: Solve for x
    x = 247,357.94/792.95
  6. Step 6: Final answer
    x = 311.95

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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.