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Finding the Fourth Proportional to 576.12, 795.42 and 421.56

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Solution

The fourth proportional to 576.12, 795.42 and 421.56 is: 582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.12 : 795.42 = 421.56 : x
  2. Step 2: Convert to fraction form
    576.12/795.42 = 421.56/x
  3. Step 3: Cross multiply
    576.12x = 795.42 × 421.56
  4. Step 4: Simplify right side
    576.12x = 335,317.26
  5. Step 5: Solve for x
    x = 335,317.26/576.12
  6. Step 6: Final answer
    x = 582.03

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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.