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Finding the Fourth Proportional to 409.97, 611.65 and 395.03

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Solution

The fourth proportional to 409.97, 611.65 and 395.03 is: 589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.97 : 611.65 = 395.03 : x
  2. Step 2: Convert to fraction form
    409.97/611.65 = 395.03/x
  3. Step 3: Cross multiply
    409.97x = 611.65 × 395.03
  4. Step 4: Simplify right side
    409.97x = 241,620.10
  5. Step 5: Solve for x
    x = 241,620.10/409.97
  6. Step 6: Final answer
    x = 589.36

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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.