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Finding the Fourth Proportional to 463.91, 639.46 and 314.49

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Solution

The fourth proportional to 463.91, 639.46 and 314.49 is: 433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.91 : 639.46 = 314.49 : x
  2. Step 2: Convert to fraction form
    463.91/639.46 = 314.49/x
  3. Step 3: Cross multiply
    463.91x = 639.46 × 314.49
  4. Step 4: Simplify right side
    463.91x = 201,099.01
  5. Step 5: Solve for x
    x = 201,099.01/463.91
  6. Step 6: Final answer
    x = 433.49

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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.