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Finding the Fourth Proportional to 792.86, 1,189.31 and 446.13

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Solution

The fourth proportional to 792.86, 1,189.31 and 446.13 is: 669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.86 : 1,189.31 = 446.13 : x
  2. Step 2: Convert to fraction form
    792.86/1,189.31 = 446.13/x
  3. Step 3: Cross multiply
    792.86x = 1,189.31 × 446.13
  4. Step 4: Simplify right side
    792.86x = 530,584.64
  5. Step 5: Solve for x
    x = 530,584.64/792.86
  6. Step 6: Final answer
    x = 669.21

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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.