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Finding the Fourth Proportional to 428.31, 593.76 and 404.92

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Solution

The fourth proportional to 428.31, 593.76 and 404.92 is: 561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.31 : 593.76 = 404.92 : x
  2. Step 2: Convert to fraction form
    428.31/593.76 = 404.92/x
  3. Step 3: Cross multiply
    428.31x = 593.76 × 404.92
  4. Step 4: Simplify right side
    428.31x = 240,425.30
  5. Step 5: Solve for x
    x = 240,425.30/428.31
  6. Step 6: Final answer
    x = 561.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.