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Finding the Fourth Proportional to 578.14, 796.72 and 420.61

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Solution

The fourth proportional to 578.14, 796.72 and 420.61 is: 579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 796.72 = 420.61 : x
  2. Step 2: Convert to fraction form
    578.14/796.72 = 420.61/x
  3. Step 3: Cross multiply
    578.14x = 796.72 × 420.61
  4. Step 4: Simplify right side
    578.14x = 335,106.30
  5. Step 5: Solve for x
    x = 335,106.30/578.14
  6. Step 6: Final answer
    x = 579.63

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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.