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Finding the Fourth Proportional to 561.68, 842.82 and 408.88

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Solution

The fourth proportional to 561.68, 842.82 and 408.88 is: 613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.68 : 842.82 = 408.88 : x
  2. Step 2: Convert to fraction form
    561.68/842.82 = 408.88/x
  3. Step 3: Cross multiply
    561.68x = 842.82 × 408.88
  4. Step 4: Simplify right side
    561.68x = 344,612.24
  5. Step 5: Solve for x
    x = 344,612.24/561.68
  6. Step 6: Final answer
    x = 613.54

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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.