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Finding the Fourth Proportional to 604.86, 834.22 and 418.65

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Solution

The fourth proportional to 604.86, 834.22 and 418.65 is: 577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.86 : 834.22 = 418.65 : x
  2. Step 2: Convert to fraction form
    604.86/834.22 = 418.65/x
  3. Step 3: Cross multiply
    604.86x = 834.22 × 418.65
  4. Step 4: Simplify right side
    604.86x = 349,246.20
  5. Step 5: Solve for x
    x = 349,246.20/604.86
  6. Step 6: Final answer
    x = 577.40

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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.