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Finding the Fourth Proportional to 635.54, 876.71 and 399.43

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Solution

The fourth proportional to 635.54, 876.71 and 399.43 is: 550.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.54 : 876.71 = 399.43 : x
  2. Step 2: Convert to fraction form
    635.54/876.71 = 399.43/x
  3. Step 3: Cross multiply
    635.54x = 876.71 × 399.43
  4. Step 4: Simplify right side
    635.54x = 350,177.89
  5. Step 5: Solve for x
    x = 350,177.89/635.54
  6. Step 6: Final answer
    x = 550.99

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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.