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Finding the Fourth Proportional to 792.85, 1,189.55 and 354.41

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Solution

The fourth proportional to 792.85, 1,189.55 and 354.41 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.85 : 1,189.55 = 354.41 : x
  2. Step 2: Convert to fraction form
    792.85/1,189.55 = 354.41/x
  3. Step 3: Cross multiply
    792.85x = 1,189.55 × 354.41
  4. Step 4: Simplify right side
    792.85x = 421,588.42
  5. Step 5: Solve for x
    x = 421,588.42/792.85
  6. Step 6: Final answer
    x = 531.74

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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.