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Finding the Fourth Proportional to 463.15, 639.67 and 315.52

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Solution

The fourth proportional to 463.15, 639.67 and 315.52 is: 435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.15 : 639.67 = 315.52 : x
  2. Step 2: Convert to fraction form
    463.15/639.67 = 315.52/x
  3. Step 3: Cross multiply
    463.15x = 639.67 × 315.52
  4. Step 4: Simplify right side
    463.15x = 201,828.70
  5. Step 5: Solve for x
    x = 201,828.70/463.15
  6. Step 6: Final answer
    x = 435.78

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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.