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Finding the Fourth Proportional to 638.73, 880.83 and 440.01

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Solution

The fourth proportional to 638.73, 880.83 and 440.01 is: 606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.73 : 880.83 = 440.01 : x
  2. Step 2: Convert to fraction form
    638.73/880.83 = 440.01/x
  3. Step 3: Cross multiply
    638.73x = 880.83 × 440.01
  4. Step 4: Simplify right side
    638.73x = 387,574.01
  5. Step 5: Solve for x
    x = 387,574.01/638.73
  6. Step 6: Final answer
    x = 606.79

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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.