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Finding the Fourth Proportional to 606.42, 909.61 and 408.30

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Solution

The fourth proportional to 606.42, 909.61 and 408.30 is: 612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.42 : 909.61 = 408.30 : x
  2. Step 2: Convert to fraction form
    606.42/909.61 = 408.30/x
  3. Step 3: Cross multiply
    606.42x = 909.61 × 408.30
  4. Step 4: Simplify right side
    606.42x = 371,393.76
  5. Step 5: Solve for x
    x = 371,393.76/606.42
  6. Step 6: Final answer
    x = 612.44

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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.