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Finding the Fourth Proportional to 574.90, 860.49 and 300.61

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Solution

The fourth proportional to 574.90, 860.49 and 300.61 is: 449.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.90 : 860.49 = 300.61 : x
  2. Step 2: Convert to fraction form
    574.90/860.49 = 300.61/x
  3. Step 3: Cross multiply
    574.90x = 860.49 × 300.61
  4. Step 4: Simplify right side
    574.90x = 258,672.97
  5. Step 5: Solve for x
    x = 258,672.97/574.90
  6. Step 6: Final answer
    x = 449.95

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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.