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Finding the Fourth Proportional to 574.41, 860.84 and 419.61

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Solution

The fourth proportional to 574.41, 860.84 and 419.61 is: 628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.41 : 860.84 = 419.61 : x
  2. Step 2: Convert to fraction form
    574.41/860.84 = 419.61/x
  3. Step 3: Cross multiply
    574.41x = 860.84 × 419.61
  4. Step 4: Simplify right side
    574.41x = 361,214.97
  5. Step 5: Solve for x
    x = 361,214.97/574.41
  6. Step 6: Final answer
    x = 628.85

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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.