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Finding the Fourth Proportional to 463.37, 638.93 and 346.73

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Solution

The fourth proportional to 463.37, 638.93 and 346.73 is: 478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.37 : 638.93 = 346.73 : x
  2. Step 2: Convert to fraction form
    463.37/638.93 = 346.73/x
  3. Step 3: Cross multiply
    463.37x = 638.93 × 346.73
  4. Step 4: Simplify right side
    463.37x = 221,534.47
  5. Step 5: Solve for x
    x = 221,534.47/463.37
  6. Step 6: Final answer
    x = 478.09

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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.