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Finding the Fourth Proportional to 604.83, 834.98 and 409.39

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Solution

The fourth proportional to 604.83, 834.98 and 409.39 is: 565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.83 : 834.98 = 409.39 : x
  2. Step 2: Convert to fraction form
    604.83/834.98 = 409.39/x
  3. Step 3: Cross multiply
    604.83x = 834.98 × 409.39
  4. Step 4: Simplify right side
    604.83x = 341,828.33
  5. Step 5: Solve for x
    x = 341,828.33/604.83
  6. Step 6: Final answer
    x = 565.16

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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.