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Finding the Fourth Proportional to 574.67, 862 and 245.56

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Solution

The fourth proportional to 574.67, 862 and 245.56 is: 368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.67 : 862 = 245.56 : x
  2. Step 2: Convert to fraction form
    574.67/862 = 245.56/x
  3. Step 3: Cross multiply
    574.67x = 862 × 245.56
  4. Step 4: Simplify right side
    574.67x = 211,668.41
  5. Step 5: Solve for x
    x = 211,668.41/574.67
  6. Step 6: Final answer
    x = 368.33

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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.