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Finding the Fourth Proportional to 467.32, 641.34 and 423.58

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Solution

The fourth proportional to 467.32, 641.34 and 423.58 is: 581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.32 : 641.34 = 423.58 : x
  2. Step 2: Convert to fraction form
    467.32/641.34 = 423.58/x
  3. Step 3: Cross multiply
    467.32x = 641.34 × 423.58
  4. Step 4: Simplify right side
    467.32x = 271,658.80
  5. Step 5: Solve for x
    x = 271,658.80/467.32
  6. Step 6: Final answer
    x = 581.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.