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Finding the Fourth Proportional to 769.41, 1,154.84 and 379.85

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Solution

The fourth proportional to 769.41, 1,154.84 and 379.85 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.41 : 1,154.84 = 379.85 : x
  2. Step 2: Convert to fraction form
    769.41/1,154.84 = 379.85/x
  3. Step 3: Cross multiply
    769.41x = 1,154.84 × 379.85
  4. Step 4: Simplify right side
    769.41x = 438,664.80
  5. Step 5: Solve for x
    x = 438,664.80/769.41
  6. Step 6: Final answer
    x = 570.13

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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.