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Finding the Fourth Proportional to 576.40, 796.10 and 380.80

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Solution

The fourth proportional to 576.40, 796.10 and 380.80 is: 525.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.40 : 796.10 = 380.80 : x
  2. Step 2: Convert to fraction form
    576.40/796.10 = 380.80/x
  3. Step 3: Cross multiply
    576.40x = 796.10 × 380.80
  4. Step 4: Simplify right side
    576.40x = 303,154.88
  5. Step 5: Solve for x
    x = 303,154.88/576.40
  6. Step 6: Final answer
    x = 525.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.