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Finding the Fourth Proportional to 463.92, 641.04 and 346.37

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Solution

The fourth proportional to 463.92, 641.04 and 346.37 is: 478.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.92 : 641.04 = 346.37 : x
  2. Step 2: Convert to fraction form
    463.92/641.04 = 346.37/x
  3. Step 3: Cross multiply
    463.92x = 641.04 × 346.37
  4. Step 4: Simplify right side
    463.92x = 222,033.82
  5. Step 5: Solve for x
    x = 222,033.82/463.92
  6. Step 6: Final answer
    x = 478.60

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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.