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Finding the Fourth Proportional to 572.41, 859.04 and 225.83

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Solution

The fourth proportional to 572.41, 859.04 and 225.83 is: 338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.41 : 859.04 = 225.83 : x
  2. Step 2: Convert to fraction form
    572.41/859.04 = 225.83/x
  3. Step 3: Cross multiply
    572.41x = 859.04 × 225.83
  4. Step 4: Simplify right side
    572.41x = 193,999.72
  5. Step 5: Solve for x
    x = 193,999.72/572.41
  6. Step 6: Final answer
    x = 338.92

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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.