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Finding the Fourth Proportional to 638.83, 958.31 and 477.54

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Solution

The fourth proportional to 638.83, 958.31 and 477.54 is: 716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.83 : 958.31 = 477.54 : x
  2. Step 2: Convert to fraction form
    638.83/958.31 = 477.54/x
  3. Step 3: Cross multiply
    638.83x = 958.31 × 477.54
  4. Step 4: Simplify right side
    638.83x = 457,632.55
  5. Step 5: Solve for x
    x = 457,632.55/638.83
  6. Step 6: Final answer
    x = 716.36

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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.