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Finding the Fourth Proportional to 463.39, 639.12 and 315.77

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Solution

The fourth proportional to 463.39, 639.12 and 315.77 is: 435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.39 : 639.12 = 315.77 : x
  2. Step 2: Convert to fraction form
    463.39/639.12 = 315.77/x
  3. Step 3: Cross multiply
    463.39x = 639.12 × 315.77
  4. Step 4: Simplify right side
    463.39x = 201,814.92
  5. Step 5: Solve for x
    x = 201,814.92/463.39
  6. Step 6: Final answer
    x = 435.52

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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.