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Finding the Fourth Proportional to 463.80, 639.18 and 347.16

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Solution

The fourth proportional to 463.80, 639.18 and 347.16 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.80 : 639.18 = 347.16 : x
  2. Step 2: Convert to fraction form
    463.80/639.18 = 347.16/x
  3. Step 3: Cross multiply
    463.80x = 639.18 × 347.16
  4. Step 4: Simplify right side
    463.80x = 221,897.73
  5. Step 5: Solve for x
    x = 221,897.73/463.80
  6. Step 6: Final answer
    x = 478.43

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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.