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Finding the Fourth Proportional to 412.25, 613.97 and 397.89

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Solution

The fourth proportional to 412.25, 613.97 and 397.89 is: 592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.25 : 613.97 = 397.89 : x
  2. Step 2: Convert to fraction form
    412.25/613.97 = 397.89/x
  3. Step 3: Cross multiply
    412.25x = 613.97 × 397.89
  4. Step 4: Simplify right side
    412.25x = 244,290.53
  5. Step 5: Solve for x
    x = 244,290.53/412.25
  6. Step 6: Final answer
    x = 592.59

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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.