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Finding the Fourth Proportional to 587.94, 879.57 and 449.94

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Solution

The fourth proportional to 587.94, 879.57 and 449.94 is: 673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.94 : 879.57 = 449.94 : x
  2. Step 2: Convert to fraction form
    587.94/879.57 = 449.94/x
  3. Step 3: Cross multiply
    587.94x = 879.57 × 449.94
  4. Step 4: Simplify right side
    587.94x = 395,753.73
  5. Step 5: Solve for x
    x = 395,753.73/587.94
  6. Step 6: Final answer
    x = 673.12

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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.