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Finding the Fourth Proportional to 785.67, 1,178.42 and 208.59

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Solution

The fourth proportional to 785.67, 1,178.42 and 208.59 is: 312.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.67 : 1,178.42 = 208.59 : x
  2. Step 2: Convert to fraction form
    785.67/1,178.42 = 208.59/x
  3. Step 3: Cross multiply
    785.67x = 1,178.42 × 208.59
  4. Step 4: Simplify right side
    785.67x = 245,805.58
  5. Step 5: Solve for x
    x = 245,805.58/785.67
  6. Step 6: Final answer
    x = 312.86

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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.