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Finding the Fourth Proportional to 570.20, 853.26 and 447.62

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Solution

The fourth proportional to 570.20, 853.26 and 447.62 is: 669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.20 : 853.26 = 447.62 : x
  2. Step 2: Convert to fraction form
    570.20/853.26 = 447.62/x
  3. Step 3: Cross multiply
    570.20x = 853.26 × 447.62
  4. Step 4: Simplify right side
    570.20x = 381,936.24
  5. Step 5: Solve for x
    x = 381,936.24/570.20
  6. Step 6: Final answer
    x = 669.83

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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.