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Finding the Fourth Proportional to 409.36, 613.12 and 397.84

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Solution

The fourth proportional to 409.36, 613.12 and 397.84 is: 595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.36 : 613.12 = 397.84 : x
  2. Step 2: Convert to fraction form
    409.36/613.12 = 397.84/x
  3. Step 3: Cross multiply
    409.36x = 613.12 × 397.84
  4. Step 4: Simplify right side
    409.36x = 243,923.66
  5. Step 5: Solve for x
    x = 243,923.66/409.36
  6. Step 6: Final answer
    x = 595.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.