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Finding the Fourth Proportional to 604.62, 834.77 and 397.74

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Solution

The fourth proportional to 604.62, 834.77 and 397.74 is: 549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.62 : 834.77 = 397.74 : x
  2. Step 2: Convert to fraction form
    604.62/834.77 = 397.74/x
  3. Step 3: Cross multiply
    604.62x = 834.77 × 397.74
  4. Step 4: Simplify right side
    604.62x = 332,021.42
  5. Step 5: Solve for x
    x = 332,021.42/604.62
  6. Step 6: Final answer
    x = 549.14

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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.