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Finding the Fourth Proportional to 639.53, 957.41 and 486.06

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Solution

The fourth proportional to 639.53, 957.41 and 486.06 is: 727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.53 : 957.41 = 486.06 : x
  2. Step 2: Convert to fraction form
    639.53/957.41 = 486.06/x
  3. Step 3: Cross multiply
    639.53x = 957.41 × 486.06
  4. Step 4: Simplify right side
    639.53x = 465,358.70
  5. Step 5: Solve for x
    x = 465,358.70/639.53
  6. Step 6: Final answer
    x = 727.66

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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.