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Finding the Fourth Proportional to 635.15, 876.47 and 399.09

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Solution

The fourth proportional to 635.15, 876.47 and 399.09 is: 550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.15 : 876.47 = 399.09 : x
  2. Step 2: Convert to fraction form
    635.15/876.47 = 399.09/x
  3. Step 3: Cross multiply
    635.15x = 876.47 × 399.09
  4. Step 4: Simplify right side
    635.15x = 349,795.63
  5. Step 5: Solve for x
    x = 349,795.63/635.15
  6. Step 6: Final answer
    x = 550.73

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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.