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Finding the Fourth Proportional to 578.22, 797.38 and 421.89

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Solution

The fourth proportional to 578.22, 797.38 and 421.89 is: 581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.22 : 797.38 = 421.89 : x
  2. Step 2: Convert to fraction form
    578.22/797.38 = 421.89/x
  3. Step 3: Cross multiply
    578.22x = 797.38 × 421.89
  4. Step 4: Simplify right side
    578.22x = 336,406.65
  5. Step 5: Solve for x
    x = 336,406.65/578.22
  6. Step 6: Final answer
    x = 581.80

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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.