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Finding the Fourth Proportional to 404.80, 610.48 and 380.80

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Solution

The fourth proportional to 404.80, 610.48 and 380.80 is: 574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.80 : 610.48 = 380.80 : x
  2. Step 2: Convert to fraction form
    404.80/610.48 = 380.80/x
  3. Step 3: Cross multiply
    404.80x = 610.48 × 380.80
  4. Step 4: Simplify right side
    404.80x = 232,470.78
  5. Step 5: Solve for x
    x = 232,470.78/404.80
  6. Step 6: Final answer
    x = 574.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.