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Finding the Fourth Proportional to 792.45, 1,189.01 and 427.15

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Solution

The fourth proportional to 792.45, 1,189.01 and 427.15 is: 640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.45 : 1,189.01 = 427.15 : x
  2. Step 2: Convert to fraction form
    792.45/1,189.01 = 427.15/x
  3. Step 3: Cross multiply
    792.45x = 1,189.01 × 427.15
  4. Step 4: Simplify right side
    792.45x = 507,883.93
  5. Step 5: Solve for x
    x = 507,883.93/792.45
  6. Step 6: Final answer
    x = 640.91

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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.