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Finding the Fourth Proportional to 467.89, 645.77 and 343.90

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Solution

The fourth proportional to 467.89, 645.77 and 343.90 is: 474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.89 : 645.77 = 343.90 : x
  2. Step 2: Convert to fraction form
    467.89/645.77 = 343.90/x
  3. Step 3: Cross multiply
    467.89x = 645.77 × 343.90
  4. Step 4: Simplify right side
    467.89x = 222,080.30
  5. Step 5: Solve for x
    x = 222,080.30/467.89
  6. Step 6: Final answer
    x = 474.64

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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.