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Finding the Fourth Proportional to 578.14, 797.24 and 420.80

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Solution

The fourth proportional to 578.14, 797.24 and 420.80 is: 580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.14 : 797.24 = 420.80 : x
  2. Step 2: Convert to fraction form
    578.14/797.24 = 420.80/x
  3. Step 3: Cross multiply
    578.14x = 797.24 × 420.80
  4. Step 4: Simplify right side
    578.14x = 335,475.66
  5. Step 5: Solve for x
    x = 335,475.66/578.14
  6. Step 6: Final answer
    x = 580.27

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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.