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Finding the Fourth Proportional to 638.56, 880.32 and 539.92

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Solution

The fourth proportional to 638.56, 880.32 and 539.92 is: 744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.56 : 880.32 = 539.92 : x
  2. Step 2: Convert to fraction form
    638.56/880.32 = 539.92/x
  3. Step 3: Cross multiply
    638.56x = 880.32 × 539.92
  4. Step 4: Simplify right side
    638.56x = 475,302.37
  5. Step 5: Solve for x
    x = 475,302.37/638.56
  6. Step 6: Final answer
    x = 744.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.