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Finding the Fourth Proportional to 792.48, 1,189.08 and 427.12

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Solution

The fourth proportional to 792.48, 1,189.08 and 427.12 is: 640.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.48 : 1,189.08 = 427.12 : x
  2. Step 2: Convert to fraction form
    792.48/1,189.08 = 427.12/x
  3. Step 3: Cross multiply
    792.48x = 1,189.08 × 427.12
  4. Step 4: Simplify right side
    792.48x = 507,879.85
  5. Step 5: Solve for x
    x = 507,879.85/792.48
  6. Step 6: Final answer
    x = 640.87

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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.