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Finding the Fourth Proportional to 785.56, 1,178.38 and 208.44

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Solution

The fourth proportional to 785.56, 1,178.38 and 208.44 is: 312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.56 : 1,178.38 = 208.44 : x
  2. Step 2: Convert to fraction form
    785.56/1,178.38 = 208.44/x
  3. Step 3: Cross multiply
    785.56x = 1,178.38 × 208.44
  4. Step 4: Simplify right side
    785.56x = 245,621.53
  5. Step 5: Solve for x
    x = 245,621.53/785.56
  6. Step 6: Final answer
    x = 312.67

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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.