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Finding the Fourth Proportional to 792.78, 1,186.93 and 518.19

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Solution

The fourth proportional to 792.78, 1,186.93 and 518.19 is: 775.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.78 : 1,186.93 = 518.19 : x
  2. Step 2: Convert to fraction form
    792.78/1,186.93 = 518.19/x
  3. Step 3: Cross multiply
    792.78x = 1,186.93 × 518.19
  4. Step 4: Simplify right side
    792.78x = 615,055.26
  5. Step 5: Solve for x
    x = 615,055.26/792.78
  6. Step 6: Final answer
    x = 775.82

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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.