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Finding the Fourth Proportional to 580.75, 800.96 and 423.94

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Solution

The fourth proportional to 580.75, 800.96 and 423.94 is: 584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.75 : 800.96 = 423.94 : x
  2. Step 2: Convert to fraction form
    580.75/800.96 = 423.94/x
  3. Step 3: Cross multiply
    580.75x = 800.96 × 423.94
  4. Step 4: Simplify right side
    580.75x = 339,556.86
  5. Step 5: Solve for x
    x = 339,556.86/580.75
  6. Step 6: Final answer
    x = 584.69

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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.