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Finding the Fourth Proportional to 769.17, 1,152.89 and 306.83

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Solution

The fourth proportional to 769.17, 1,152.89 and 306.83 is: 459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.17 : 1,152.89 = 306.83 : x
  2. Step 2: Convert to fraction form
    769.17/1,152.89 = 306.83/x
  3. Step 3: Cross multiply
    769.17x = 1,152.89 × 306.83
  4. Step 4: Simplify right side
    769.17x = 353,735.47
  5. Step 5: Solve for x
    x = 353,735.47/769.17
  6. Step 6: Final answer
    x = 459.90

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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.