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Finding the Fourth Proportional to 408.85, 609.45 and 395.35

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Solution

The fourth proportional to 408.85, 609.45 and 395.35 is: 589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.85 : 609.45 = 395.35 : x
  2. Step 2: Convert to fraction form
    408.85/609.45 = 395.35/x
  3. Step 3: Cross multiply
    408.85x = 609.45 × 395.35
  4. Step 4: Simplify right side
    408.85x = 240,946.06
  5. Step 5: Solve for x
    x = 240,946.06/408.85
  6. Step 6: Final answer
    x = 589.33

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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.