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Finding the Fourth Proportional to 792.02, 1,186.82 and 353.20

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Solution

The fourth proportional to 792.02, 1,186.82 and 353.20 is: 529.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.02 : 1,186.82 = 353.20 : x
  2. Step 2: Convert to fraction form
    792.02/1,186.82 = 353.20/x
  3. Step 3: Cross multiply
    792.02x = 1,186.82 × 353.20
  4. Step 4: Simplify right side
    792.02x = 419,184.82
  5. Step 5: Solve for x
    x = 419,184.82/792.02
  6. Step 6: Final answer
    x = 529.26

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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.