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Finding the Fourth Proportional to 635.92, 877.25 and 399.75

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Solution

The fourth proportional to 635.92, 877.25 and 399.75 is: 551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.92 : 877.25 = 399.75 : x
  2. Step 2: Convert to fraction form
    635.92/877.25 = 399.75/x
  3. Step 3: Cross multiply
    635.92x = 877.25 × 399.75
  4. Step 4: Simplify right side
    635.92x = 350,680.69
  5. Step 5: Solve for x
    x = 350,680.69/635.92
  6. Step 6: Final answer
    x = 551.45

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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.