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Finding the Fourth Proportional to 604.56, 833.80 and 371.60

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Solution

The fourth proportional to 604.56, 833.80 and 371.60 is: 512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 833.80 = 371.60 : x
  2. Step 2: Convert to fraction form
    604.56/833.80 = 371.60/x
  3. Step 3: Cross multiply
    604.56x = 833.80 × 371.60
  4. Step 4: Simplify right side
    604.56x = 309,840.08
  5. Step 5: Solve for x
    x = 309,840.08/604.56
  6. Step 6: Final answer
    x = 512.51

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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.