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Finding the Fourth Proportional to 604.49, 833.91 and 408.07

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Solution

The fourth proportional to 604.49, 833.91 and 408.07 is: 562.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.49 : 833.91 = 408.07 : x
  2. Step 2: Convert to fraction form
    604.49/833.91 = 408.07/x
  3. Step 3: Cross multiply
    604.49x = 833.91 × 408.07
  4. Step 4: Simplify right side
    604.49x = 340,289.48
  5. Step 5: Solve for x
    x = 340,289.48/604.49
  6. Step 6: Final answer
    x = 562.94

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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.