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Finding the Fourth Proportional to 428.09, 588.74 and 372.87

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Solution

The fourth proportional to 428.09, 588.74 and 372.87 is: 512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.09 : 588.74 = 372.87 : x
  2. Step 2: Convert to fraction form
    428.09/588.74 = 372.87/x
  3. Step 3: Cross multiply
    428.09x = 588.74 × 372.87
  4. Step 4: Simplify right side
    428.09x = 219,521.62
  5. Step 5: Solve for x
    x = 219,521.62/428.09
  6. Step 6: Final answer
    x = 512.80

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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.