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Finding the Fourth Proportional to 792.09, 1,092.93 and 460.50

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Solution

The fourth proportional to 792.09, 1,092.93 and 460.50 is: 635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.09 : 1,092.93 = 460.50 : x
  2. Step 2: Convert to fraction form
    792.09/1,092.93 = 460.50/x
  3. Step 3: Cross multiply
    792.09x = 1,092.93 × 460.50
  4. Step 4: Simplify right side
    792.09x = 503,294.27
  5. Step 5: Solve for x
    x = 503,294.27/792.09
  6. Step 6: Final answer
    x = 635.40

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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.