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Finding the Fourth Proportional to 412.22, 567.29 and 398.85

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Solution

The fourth proportional to 412.22, 567.29 and 398.85 is: 548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.22 : 567.29 = 398.85 : x
  2. Step 2: Convert to fraction form
    412.22/567.29 = 398.85/x
  3. Step 3: Cross multiply
    412.22x = 567.29 × 398.85
  4. Step 4: Simplify right side
    412.22x = 226,263.62
  5. Step 5: Solve for x
    x = 226,263.62/412.22
  6. Step 6: Final answer
    x = 548.89

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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.