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Finding the Fourth Proportional to 463.85, 639.87 and 376.37

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Solution

The fourth proportional to 463.85, 639.87 and 376.37 is: 519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.85 : 639.87 = 376.37 : x
  2. Step 2: Convert to fraction form
    463.85/639.87 = 376.37/x
  3. Step 3: Cross multiply
    463.85x = 639.87 × 376.37
  4. Step 4: Simplify right side
    463.85x = 240,827.87
  5. Step 5: Solve for x
    x = 240,827.87/463.85
  6. Step 6: Final answer
    x = 519.19

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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.