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Finding the Fourth Proportional to 769.54, 1,154.50 and 221.76

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Solution

The fourth proportional to 769.54, 1,154.50 and 221.76 is: 332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.54 : 1,154.50 = 221.76 : x
  2. Step 2: Convert to fraction form
    769.54/1,154.50 = 221.76/x
  3. Step 3: Cross multiply
    769.54x = 1,154.50 × 221.76
  4. Step 4: Simplify right side
    769.54x = 256,021.92
  5. Step 5: Solve for x
    x = 256,021.92/769.54
  6. Step 6: Final answer
    x = 332.70

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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.