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Finding the Fourth Proportional to 428.94, 588.72 and 396.06

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Solution

The fourth proportional to 428.94, 588.72 and 396.06 is: 543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.94 : 588.72 = 396.06 : x
  2. Step 2: Convert to fraction form
    428.94/588.72 = 396.06/x
  3. Step 3: Cross multiply
    428.94x = 588.72 × 396.06
  4. Step 4: Simplify right side
    428.94x = 233,168.44
  5. Step 5: Solve for x
    x = 233,168.44/428.94
  6. Step 6: Final answer
    x = 543.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.