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Finding the Fourth Proportional to 412.09, 617.90 and 363.45

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Solution

The fourth proportional to 412.09, 617.90 and 363.45 is: 544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.09 : 617.90 = 363.45 : x
  2. Step 2: Convert to fraction form
    412.09/617.90 = 363.45/x
  3. Step 3: Cross multiply
    412.09x = 617.90 × 363.45
  4. Step 4: Simplify right side
    412.09x = 224,576.71
  5. Step 5: Solve for x
    x = 224,576.71/412.09
  6. Step 6: Final answer
    x = 544.97

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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.