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Finding the Fourth Proportional to 576.32, 863.66 and 380.99

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Solution

The fourth proportional to 576.32, 863.66 and 380.99 is: 570.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.32 : 863.66 = 380.99 : x
  2. Step 2: Convert to fraction form
    576.32/863.66 = 380.99/x
  3. Step 3: Cross multiply
    576.32x = 863.66 × 380.99
  4. Step 4: Simplify right side
    576.32x = 329,048.94
  5. Step 5: Solve for x
    x = 329,048.94/576.32
  6. Step 6: Final answer
    x = 570.95

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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.