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Finding the Fourth Proportional to 578.08, 798.27 and 421.61

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Solution

The fourth proportional to 578.08, 798.27 and 421.61 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.08 : 798.27 = 421.61 : x
  2. Step 2: Convert to fraction form
    578.08/798.27 = 421.61/x
  3. Step 3: Cross multiply
    578.08x = 798.27 × 421.61
  4. Step 4: Simplify right side
    578.08x = 336,558.61
  5. Step 5: Solve for x
    x = 336,558.61/578.08
  6. Step 6: Final answer
    x = 582.21

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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.