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Finding the Fourth Proportional to 412.06, 568.09 and 399.32

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Solution

The fourth proportional to 412.06, 568.09 and 399.32 is: 550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.06 : 568.09 = 399.32 : x
  2. Step 2: Convert to fraction form
    412.06/568.09 = 399.32/x
  3. Step 3: Cross multiply
    412.06x = 568.09 × 399.32
  4. Step 4: Simplify right side
    412.06x = 226,849.70
  5. Step 5: Solve for x
    x = 226,849.70/412.06
  6. Step 6: Final answer
    x = 550.53

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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.