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Finding the Fourth Proportional to 428.76, 592.38 and 399.96

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Solution

The fourth proportional to 428.76, 592.38 and 399.96 is: 552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.76 : 592.38 = 399.96 : x
  2. Step 2: Convert to fraction form
    428.76/592.38 = 399.96/x
  3. Step 3: Cross multiply
    428.76x = 592.38 × 399.96
  4. Step 4: Simplify right side
    428.76x = 236,928.30
  5. Step 5: Solve for x
    x = 236,928.30/428.76
  6. Step 6: Final answer
    x = 552.59

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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.