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Finding the Fourth Proportional to 785.75, 1,178.70 and 208.63

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Solution

The fourth proportional to 785.75, 1,178.70 and 208.63 is: 312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.75 : 1,178.70 = 208.63 : x
  2. Step 2: Convert to fraction form
    785.75/1,178.70 = 208.63/x
  3. Step 3: Cross multiply
    785.75x = 1,178.70 × 208.63
  4. Step 4: Simplify right side
    785.75x = 245,906.29
  5. Step 5: Solve for x
    x = 245,906.29/785.75
  6. Step 6: Final answer
    x = 312.96

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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.