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Finding the Fourth Proportional to 640.36, 959.67 and 466

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Solution

The fourth proportional to 640.36, 959.67 and 466 is: 698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.36 : 959.67 = 466 : x
  2. Step 2: Convert to fraction form
    640.36/959.67 = 466/x
  3. Step 3: Cross multiply
    640.36x = 959.67 × 466
  4. Step 4: Simplify right side
    640.36x = 447,206.22
  5. Step 5: Solve for x
    x = 447,206.22/640.36
  6. Step 6: Final answer
    x = 698.37

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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.