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Finding the Fourth Proportional to 604.64, 834.78 and 415.91

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Solution

The fourth proportional to 604.64, 834.78 and 415.91 is: 574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.64 : 834.78 = 415.91 : x
  2. Step 2: Convert to fraction form
    604.64/834.78 = 415.91/x
  3. Step 3: Cross multiply
    604.64x = 834.78 × 415.91
  4. Step 4: Simplify right side
    604.64x = 347,189.18
  5. Step 5: Solve for x
    x = 347,189.18/604.64
  6. Step 6: Final answer
    x = 574.21

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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.