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Finding the Fourth Proportional to 629.20, 865.38 and 580.60

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Solution

The fourth proportional to 629.20, 865.38 and 580.60 is: 798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.20 : 865.38 = 580.60 : x
  2. Step 2: Convert to fraction form
    629.20/865.38 = 580.60/x
  3. Step 3: Cross multiply
    629.20x = 865.38 × 580.60
  4. Step 4: Simplify right side
    629.20x = 502,439.63
  5. Step 5: Solve for x
    x = 502,439.63/629.20
  6. Step 6: Final answer
    x = 798.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.