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Finding the Fourth Proportional to 463.63, 639.71 and 277.05

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Solution

The fourth proportional to 463.63, 639.71 and 277.05 is: 382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.63 : 639.71 = 277.05 : x
  2. Step 2: Convert to fraction form
    463.63/639.71 = 277.05/x
  3. Step 3: Cross multiply
    463.63x = 639.71 × 277.05
  4. Step 4: Simplify right side
    463.63x = 177,235.27
  5. Step 5: Solve for x
    x = 177,235.27/463.63
  6. Step 6: Final answer
    x = 382.28

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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.