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Finding the Fourth Proportional to 486.59, 730.46 and 383.95

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Solution

The fourth proportional to 486.59, 730.46 and 383.95 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.59 : 730.46 = 383.95 : x
  2. Step 2: Convert to fraction form
    486.59/730.46 = 383.95/x
  3. Step 3: Cross multiply
    486.59x = 730.46 × 383.95
  4. Step 4: Simplify right side
    486.59x = 280,457.88
  5. Step 5: Solve for x
    x = 280,457.88/486.59
  6. Step 6: Final answer
    x = 576.37

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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.