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Finding the Fourth Proportional to 606.22, 835.23 and 398.86

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Solution

The fourth proportional to 606.22, 835.23 and 398.86 is: 549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.22 : 835.23 = 398.86 : x
  2. Step 2: Convert to fraction form
    606.22/835.23 = 398.86/x
  3. Step 3: Cross multiply
    606.22x = 835.23 × 398.86
  4. Step 4: Simplify right side
    606.22x = 333,139.84
  5. Step 5: Solve for x
    x = 333,139.84/606.22
  6. Step 6: Final answer
    x = 549.54

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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.