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Finding the Fourth Proportional to 604.26, 834.27 and 464.11

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Solution

The fourth proportional to 604.26, 834.27 and 464.11 is: 640.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.26 : 834.27 = 464.11 : x
  2. Step 2: Convert to fraction form
    604.26/834.27 = 464.11/x
  3. Step 3: Cross multiply
    604.26x = 834.27 × 464.11
  4. Step 4: Simplify right side
    604.26x = 387,186.56
  5. Step 5: Solve for x
    x = 387,186.56/604.26
  6. Step 6: Final answer
    x = 640.77

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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.