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Finding the Fourth Proportional to 639.22, 959.64 and 543.64

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Solution

The fourth proportional to 639.22, 959.64 and 543.64 is: 816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.22 : 959.64 = 543.64 : x
  2. Step 2: Convert to fraction form
    639.22/959.64 = 543.64/x
  3. Step 3: Cross multiply
    639.22x = 959.64 × 543.64
  4. Step 4: Simplify right side
    639.22x = 521,698.69
  5. Step 5: Solve for x
    x = 521,698.69/639.22
  6. Step 6: Final answer
    x = 816.15

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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.