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Finding the Fourth Proportional to 792.79, 1,092.49 and 606.49

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Solution

The fourth proportional to 792.79, 1,092.49 and 606.49 is: 835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.79 : 1,092.49 = 606.49 : x
  2. Step 2: Convert to fraction form
    792.79/1,092.49 = 606.49/x
  3. Step 3: Cross multiply
    792.79x = 1,092.49 × 606.49
  4. Step 4: Simplify right side
    792.79x = 662,584.26
  5. Step 5: Solve for x
    x = 662,584.26/792.79
  6. Step 6: Final answer
    x = 835.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.