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Finding the Fourth Proportional to 638.42, 880.77 and 442.09

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Solution

The fourth proportional to 638.42, 880.77 and 442.09 is: 609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.42 : 880.77 = 442.09 : x
  2. Step 2: Convert to fraction form
    638.42/880.77 = 442.09/x
  3. Step 3: Cross multiply
    638.42x = 880.77 × 442.09
  4. Step 4: Simplify right side
    638.42x = 389,382.37
  5. Step 5: Solve for x
    x = 389,382.37/638.42
  6. Step 6: Final answer
    x = 609.92

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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.