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Finding the Fourth Proportional to 410.80, 613.22 and 409.84

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Solution

The fourth proportional to 410.80, 613.22 and 409.84 is: 611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.80 : 613.22 = 409.84 : x
  2. Step 2: Convert to fraction form
    410.80/613.22 = 409.84/x
  3. Step 3: Cross multiply
    410.80x = 613.22 × 409.84
  4. Step 4: Simplify right side
    410.80x = 251,322.08
  5. Step 5: Solve for x
    x = 251,322.08/410.80
  6. Step 6: Final answer
    x = 611.79

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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.