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Finding the Fourth Proportional to 604.56, 834.28 and 371.68

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Solution

The fourth proportional to 604.56, 834.28 and 371.68 is: 512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 834.28 = 371.68 : x
  2. Step 2: Convert to fraction form
    604.56/834.28 = 371.68/x
  3. Step 3: Cross multiply
    604.56x = 834.28 × 371.68
  4. Step 4: Simplify right side
    604.56x = 310,085.19
  5. Step 5: Solve for x
    x = 310,085.19/604.56
  6. Step 6: Final answer
    x = 512.91

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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.