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Finding the Fourth Proportional to 409.60, 613.18 and 409.06

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Solution

The fourth proportional to 409.60, 613.18 and 409.06 is: 612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 613.18 = 409.06 : x
  2. Step 2: Convert to fraction form
    409.60/613.18 = 409.06/x
  3. Step 3: Cross multiply
    409.60x = 613.18 × 409.06
  4. Step 4: Simplify right side
    409.60x = 250,824.86
  5. Step 5: Solve for x
    x = 250,824.86/409.60
  6. Step 6: Final answer
    x = 612.37

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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.