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Finding the Fourth Proportional to 635.34, 877.09 and 399.63

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Solution

The fourth proportional to 635.34, 877.09 and 399.63 is: 551.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.34 : 877.09 = 399.63 : x
  2. Step 2: Convert to fraction form
    635.34/877.09 = 399.63/x
  3. Step 3: Cross multiply
    635.34x = 877.09 × 399.63
  4. Step 4: Simplify right side
    635.34x = 350,511.48
  5. Step 5: Solve for x
    x = 350,511.48/635.34
  6. Step 6: Final answer
    x = 551.69

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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.