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Finding the Fourth Proportional to 578.96, 798.36 and 431.36

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Solution

The fourth proportional to 578.96, 798.36 and 431.36 is: 594.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.96 : 798.36 = 431.36 : x
  2. Step 2: Convert to fraction form
    578.96/798.36 = 431.36/x
  3. Step 3: Cross multiply
    578.96x = 798.36 × 431.36
  4. Step 4: Simplify right side
    578.96x = 344,380.57
  5. Step 5: Solve for x
    x = 344,380.57/578.96
  6. Step 6: Final answer
    x = 594.83

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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.