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Finding the Fourth Proportional to 576.46, 863.60 and 383.50

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Solution

The fourth proportional to 576.46, 863.60 and 383.50 is: 574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.46 : 863.60 = 383.50 : x
  2. Step 2: Convert to fraction form
    576.46/863.60 = 383.50/x
  3. Step 3: Cross multiply
    576.46x = 863.60 × 383.50
  4. Step 4: Simplify right side
    576.46x = 331,190.60
  5. Step 5: Solve for x
    x = 331,190.60/576.46
  6. Step 6: Final answer
    x = 574.52

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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.