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Finding the Fourth Proportional to 580.33, 868.42 and 504.19

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Solution

The fourth proportional to 580.33, 868.42 and 504.19 is: 754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.33 : 868.42 = 504.19 : x
  2. Step 2: Convert to fraction form
    580.33/868.42 = 504.19/x
  3. Step 3: Cross multiply
    580.33x = 868.42 × 504.19
  4. Step 4: Simplify right side
    580.33x = 437,848.68
  5. Step 5: Solve for x
    x = 437,848.68/580.33
  6. Step 6: Final answer
    x = 754.48

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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.