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Finding the Fourth Proportional to 604.87, 835.03 and 427.97

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Solution

The fourth proportional to 604.87, 835.03 and 427.97 is: 590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.87 : 835.03 = 427.97 : x
  2. Step 2: Convert to fraction form
    604.87/835.03 = 427.97/x
  3. Step 3: Cross multiply
    604.87x = 835.03 × 427.97
  4. Step 4: Simplify right side
    604.87x = 357,363.31
  5. Step 5: Solve for x
    x = 357,363.31/604.87
  6. Step 6: Final answer
    x = 590.81

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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.