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Finding the Fourth Proportional to 580.67, 865.97 and 494.56

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Solution

The fourth proportional to 580.67, 865.97 and 494.56 is: 737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.67 : 865.97 = 494.56 : x
  2. Step 2: Convert to fraction form
    580.67/865.97 = 494.56/x
  3. Step 3: Cross multiply
    580.67x = 865.97 × 494.56
  4. Step 4: Simplify right side
    580.67x = 428,268.33
  5. Step 5: Solve for x
    x = 428,268.33/580.67
  6. Step 6: Final answer
    x = 737.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.