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Finding the Fourth Proportional to 574.81, 792.84 and 385.67

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Solution

The fourth proportional to 574.81, 792.84 and 385.67 is: 531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.81 : 792.84 = 385.67 : x
  2. Step 2: Convert to fraction form
    574.81/792.84 = 385.67/x
  3. Step 3: Cross multiply
    574.81x = 792.84 × 385.67
  4. Step 4: Simplify right side
    574.81x = 305,778.16
  5. Step 5: Solve for x
    x = 305,778.16/574.81
  6. Step 6: Final answer
    x = 531.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.