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Finding the Fourth Proportional to 639.02, 957.83 and 408.02

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Solution

The fourth proportional to 639.02, 957.83 and 408.02 is: 611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.02 : 957.83 = 408.02 : x
  2. Step 2: Convert to fraction form
    639.02/957.83 = 408.02/x
  3. Step 3: Cross multiply
    639.02x = 957.83 × 408.02
  4. Step 4: Simplify right side
    639.02x = 390,806.97
  5. Step 5: Solve for x
    x = 390,806.97/639.02
  6. Step 6: Final answer
    x = 611.58

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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.