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Finding the Fourth Proportional to 463.37, 639.70 and 315.75

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Solution

The fourth proportional to 463.37, 639.70 and 315.75 is: 435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.37 : 639.70 = 315.75 : x
  2. Step 2: Convert to fraction form
    463.37/639.70 = 315.75/x
  3. Step 3: Cross multiply
    463.37x = 639.70 × 315.75
  4. Step 4: Simplify right side
    463.37x = 201,983.29
  5. Step 5: Solve for x
    x = 201,983.29/463.37
  6. Step 6: Final answer
    x = 435.90

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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.