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Finding the Fourth Proportional to 427.12, 588.64 and 333.72

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Solution

The fourth proportional to 427.12, 588.64 and 333.72 is: 459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.12 : 588.64 = 333.72 : x
  2. Step 2: Convert to fraction form
    427.12/588.64 = 333.72/x
  3. Step 3: Cross multiply
    427.12x = 588.64 × 333.72
  4. Step 4: Simplify right side
    427.12x = 196,440.94
  5. Step 5: Solve for x
    x = 196,440.94/427.12
  6. Step 6: Final answer
    x = 459.92

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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.