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Finding the Fourth Proportional to 580.05, 868.52 and 453.71

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Solution

The fourth proportional to 580.05, 868.52 and 453.71 is: 679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.05 : 868.52 = 453.71 : x
  2. Step 2: Convert to fraction form
    580.05/868.52 = 453.71/x
  3. Step 3: Cross multiply
    580.05x = 868.52 × 453.71
  4. Step 4: Simplify right side
    580.05x = 394,049.60
  5. Step 5: Solve for x
    x = 394,049.60/580.05
  6. Step 6: Final answer
    x = 679.34

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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.