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Finding the Fourth Proportional to 792.50, 1,093.80 and 460.97

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Solution

The fourth proportional to 792.50, 1,093.80 and 460.97 is: 636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.50 : 1,093.80 = 460.97 : x
  2. Step 2: Convert to fraction form
    792.50/1,093.80 = 460.97/x
  3. Step 3: Cross multiply
    792.50x = 1,093.80 × 460.97
  4. Step 4: Simplify right side
    792.50x = 504,208.99
  5. Step 5: Solve for x
    x = 504,208.99/792.50
  6. Step 6: Final answer
    x = 636.23

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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.