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Finding the Fourth Proportional to 639.36, 958.17 and 465

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Solution

The fourth proportional to 639.36, 958.17 and 465 is: 696.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.36 : 958.17 = 465 : x
  2. Step 2: Convert to fraction form
    639.36/958.17 = 465/x
  3. Step 3: Cross multiply
    639.36x = 958.17 × 465
  4. Step 4: Simplify right side
    639.36x = 445,549.05
  5. Step 5: Solve for x
    x = 445,549.05/639.36
  6. Step 6: Final answer
    x = 696.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.