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Finding the Fourth Proportional to 769.50, 1,154.25 and 214.25

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Solution

The fourth proportional to 769.50, 1,154.25 and 214.25 is: 321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.50 : 1,154.25 = 214.25 : x
  2. Step 2: Convert to fraction form
    769.50/1,154.25 = 214.25/x
  3. Step 3: Cross multiply
    769.50x = 1,154.25 × 214.25
  4. Step 4: Simplify right side
    769.50x = 247,292.29
  5. Step 5: Solve for x
    x = 247,292.29/769.50
  6. Step 6: Final answer
    x = 321.37

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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.