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Finding the Fourth Proportional to 792.96, 1,186.56 and 729.60

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Solution

The fourth proportional to 792.96, 1,186.56 and 729.60 is: 1,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.96 : 1,186.56 = 729.60 : x
  2. Step 2: Convert to fraction form
    792.96/1,186.56 = 729.60/x
  3. Step 3: Cross multiply
    792.96x = 1,186.56 × 729.60
  4. Step 4: Simplify right side
    792.96x = 865,714.18
  5. Step 5: Solve for x
    x = 865,714.18/792.96
  6. Step 6: Final answer
    x = 1,091.75

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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.