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Finding the Fourth Proportional to 586.73, 878.38 and 449.44

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Solution

The fourth proportional to 586.73, 878.38 and 449.44 is: 672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.73 : 878.38 = 449.44 : x
  2. Step 2: Convert to fraction form
    586.73/878.38 = 449.44/x
  3. Step 3: Cross multiply
    586.73x = 878.38 × 449.44
  4. Step 4: Simplify right side
    586.73x = 394,775.79
  5. Step 5: Solve for x
    x = 394,775.79/586.73
  6. Step 6: Final answer
    x = 672.84

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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.