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Finding the Fourth Proportional to 786.57, 1,179.86 and 209.45

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Solution

The fourth proportional to 786.57, 1,179.86 and 209.45 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.57 : 1,179.86 = 209.45 : x
  2. Step 2: Convert to fraction form
    786.57/1,179.86 = 209.45/x
  3. Step 3: Cross multiply
    786.57x = 1,179.86 × 209.45
  4. Step 4: Simplify right side
    786.57x = 247,114.73
  5. Step 5: Solve for x
    x = 247,114.73/786.57
  6. Step 6: Final answer
    x = 314.17

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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.