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Finding the Fourth Proportional to 412.28, 613.11 and 399.29

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Solution

The fourth proportional to 412.28, 613.11 and 399.29 is: 593.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.28 : 613.11 = 399.29 : x
  2. Step 2: Convert to fraction form
    412.28/613.11 = 399.29/x
  3. Step 3: Cross multiply
    412.28x = 613.11 × 399.29
  4. Step 4: Simplify right side
    412.28x = 244,810.22
  5. Step 5: Solve for x
    x = 244,810.22/412.28
  6. Step 6: Final answer
    x = 593.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.