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Finding the Fourth Proportional to 574.80, 862.20 and 409.20

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Solution

The fourth proportional to 574.80, 862.20 and 409.20 is: 613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 862.20 = 409.20 : x
  2. Step 2: Convert to fraction form
    574.80/862.20 = 409.20/x
  3. Step 3: Cross multiply
    574.80x = 862.20 × 409.20
  4. Step 4: Simplify right side
    574.80x = 352,812.24
  5. Step 5: Solve for x
    x = 352,812.24/574.80
  6. Step 6: Final answer
    x = 613.80

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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.