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Finding the Fourth Proportional to 544.56, 815.94 and 406.86

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Solution

The fourth proportional to 544.56, 815.94 and 406.86 is: 609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.56 : 815.94 = 406.86 : x
  2. Step 2: Convert to fraction form
    544.56/815.94 = 406.86/x
  3. Step 3: Cross multiply
    544.56x = 815.94 × 406.86
  4. Step 4: Simplify right side
    544.56x = 331,973.35
  5. Step 5: Solve for x
    x = 331,973.35/544.56
  6. Step 6: Final answer
    x = 609.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.