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Finding the Fourth Proportional to 572.85, 859.41 and 408.42

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Solution

The fourth proportional to 572.85, 859.41 and 408.42 is: 612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.85 : 859.41 = 408.42 : x
  2. Step 2: Convert to fraction form
    572.85/859.41 = 408.42/x
  3. Step 3: Cross multiply
    572.85x = 859.41 × 408.42
  4. Step 4: Simplify right side
    572.85x = 351,000.23
  5. Step 5: Solve for x
    x = 351,000.23/572.85
  6. Step 6: Final answer
    x = 612.73

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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.