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Finding the Fourth Proportional to 604.92, 835.16 and 418.34

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Solution

The fourth proportional to 604.92, 835.16 and 418.34 is: 577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 835.16 = 418.34 : x
  2. Step 2: Convert to fraction form
    604.92/835.16 = 418.34/x
  3. Step 3: Cross multiply
    604.92x = 835.16 × 418.34
  4. Step 4: Simplify right side
    604.92x = 349,380.83
  5. Step 5: Solve for x
    x = 349,380.83/604.92
  6. Step 6: Final answer
    x = 577.57

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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.