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Finding the Fourth Proportional to 604.48, 834.78 and 408.76

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Solution

The fourth proportional to 604.48, 834.78 and 408.76 is: 564.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.48 : 834.78 = 408.76 : x
  2. Step 2: Convert to fraction form
    604.48/834.78 = 408.76/x
  3. Step 3: Cross multiply
    604.48x = 834.78 × 408.76
  4. Step 4: Simplify right side
    604.48x = 341,224.67
  5. Step 5: Solve for x
    x = 341,224.67/604.48
  6. Step 6: Final answer
    x = 564.49

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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.