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Finding the Fourth Proportional to 578.45, 797.91 and 420.87

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Solution

The fourth proportional to 578.45, 797.91 and 420.87 is: 580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.45 : 797.91 = 420.87 : x
  2. Step 2: Convert to fraction form
    578.45/797.91 = 420.87/x
  3. Step 3: Cross multiply
    578.45x = 797.91 × 420.87
  4. Step 4: Simplify right side
    578.45x = 335,813.39
  5. Step 5: Solve for x
    x = 335,813.39/578.45
  6. Step 6: Final answer
    x = 580.55

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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.