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Finding the Fourth Proportional to 617.60, 852.38 and 378.46

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Solution

The fourth proportional to 617.60, 852.38 and 378.46 is: 522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.60 : 852.38 = 378.46 : x
  2. Step 2: Convert to fraction form
    617.60/852.38 = 378.46/x
  3. Step 3: Cross multiply
    617.60x = 852.38 × 378.46
  4. Step 4: Simplify right side
    617.60x = 322,591.73
  5. Step 5: Solve for x
    x = 322,591.73/617.60
  6. Step 6: Final answer
    x = 522.33

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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.