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Finding the Fourth Proportional to 464.87, 641.62 and 420.12

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Solution

The fourth proportional to 464.87, 641.62 and 420.12 is: 579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.87 : 641.62 = 420.12 : x
  2. Step 2: Convert to fraction form
    464.87/641.62 = 420.12/x
  3. Step 3: Cross multiply
    464.87x = 641.62 × 420.12
  4. Step 4: Simplify right side
    464.87x = 269,557.92
  5. Step 5: Solve for x
    x = 269,557.92/464.87
  6. Step 6: Final answer
    x = 579.85

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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.