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Finding the Fourth Proportional to 767.14, 1,150.80 and 219.40

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Solution

The fourth proportional to 767.14, 1,150.80 and 219.40 is: 329.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.14 : 1,150.80 = 219.40 : x
  2. Step 2: Convert to fraction form
    767.14/1,150.80 = 219.40/x
  3. Step 3: Cross multiply
    767.14x = 1,150.80 × 219.40
  4. Step 4: Simplify right side
    767.14x = 252,485.52
  5. Step 5: Solve for x
    x = 252,485.52/767.14
  6. Step 6: Final answer
    x = 329.13

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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.