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Finding the Fourth Proportional to 604.82, 835.54 and 409.20

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Solution

The fourth proportional to 604.82, 835.54 and 409.20 is: 565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.82 : 835.54 = 409.20 : x
  2. Step 2: Convert to fraction form
    604.82/835.54 = 409.20/x
  3. Step 3: Cross multiply
    604.82x = 835.54 × 409.20
  4. Step 4: Simplify right side
    604.82x = 341,902.97
  5. Step 5: Solve for x
    x = 341,902.97/604.82
  6. Step 6: Final answer
    x = 565.30

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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.