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Finding the Fourth Proportional to 604.86, 834.96 and 408

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Solution

The fourth proportional to 604.86, 834.96 and 408 is: 563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.86 : 834.96 = 408 : x
  2. Step 2: Convert to fraction form
    604.86/834.96 = 408/x
  3. Step 3: Cross multiply
    604.86x = 834.96 × 408
  4. Step 4: Simplify right side
    604.86x = 340,663.68
  5. Step 5: Solve for x
    x = 340,663.68/604.86
  6. Step 6: Final answer
    x = 563.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.