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Finding the Fourth Proportional to 578.72, 799.70 and 421.83

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Solution

The fourth proportional to 578.72, 799.70 and 421.83 is: 582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.72 : 799.70 = 421.83 : x
  2. Step 2: Convert to fraction form
    578.72/799.70 = 421.83/x
  3. Step 3: Cross multiply
    578.72x = 799.70 × 421.83
  4. Step 4: Simplify right side
    578.72x = 337,338.78
  5. Step 5: Solve for x
    x = 337,338.78/578.72
  6. Step 6: Final answer
    x = 582.91

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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.