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Finding the Fourth Proportional to 604.92, 834.78 and 342.96

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Solution

The fourth proportional to 604.92, 834.78 and 342.96 is: 473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.92 : 834.78 = 342.96 : x
  2. Step 2: Convert to fraction form
    604.92/834.78 = 342.96/x
  3. Step 3: Cross multiply
    604.92x = 834.78 × 342.96
  4. Step 4: Simplify right side
    604.92x = 286,296.15
  5. Step 5: Solve for x
    x = 286,296.15/604.92
  6. Step 6: Final answer
    x = 473.28

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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.