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Finding the Fourth Proportional to 635.92, 877.54 and 356.11

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Solution

The fourth proportional to 635.92, 877.54 and 356.11 is: 491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.92 : 877.54 = 356.11 : x
  2. Step 2: Convert to fraction form
    635.92/877.54 = 356.11/x
  3. Step 3: Cross multiply
    635.92x = 877.54 × 356.11
  4. Step 4: Simplify right side
    635.92x = 312,503.29
  5. Step 5: Solve for x
    x = 312,503.29/635.92
  6. Step 6: Final answer
    x = 491.42

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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.