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Finding the Fourth Proportional to 428.78, 592.19 and 382.15

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Solution

The fourth proportional to 428.78, 592.19 and 382.15 is: 527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.78 : 592.19 = 382.15 : x
  2. Step 2: Convert to fraction form
    428.78/592.19 = 382.15/x
  3. Step 3: Cross multiply
    428.78x = 592.19 × 382.15
  4. Step 4: Simplify right side
    428.78x = 226,300.54
  5. Step 5: Solve for x
    x = 226,300.54/428.78
  6. Step 6: Final answer
    x = 527.78

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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.