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Finding the Fourth Proportional to 785.39, 1,178.09 and 237.58

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Solution

The fourth proportional to 785.39, 1,178.09 and 237.58 is: 356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.39 : 1,178.09 = 237.58 : x
  2. Step 2: Convert to fraction form
    785.39/1,178.09 = 237.58/x
  3. Step 3: Cross multiply
    785.39x = 1,178.09 × 237.58
  4. Step 4: Simplify right side
    785.39x = 279,884.73
  5. Step 5: Solve for x
    x = 279,884.73/785.39
  6. Step 6: Final answer
    x = 356.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.