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Finding the Fourth Proportional to 488.05, 732.23 and 411.73

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Solution

The fourth proportional to 488.05, 732.23 and 411.73 is: 617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.05 : 732.23 = 411.73 : x
  2. Step 2: Convert to fraction form
    488.05/732.23 = 411.73/x
  3. Step 3: Cross multiply
    488.05x = 732.23 × 411.73
  4. Step 4: Simplify right side
    488.05x = 301,475.34
  5. Step 5: Solve for x
    x = 301,475.34/488.05
  6. Step 6: Final answer
    x = 617.72

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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.