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Finding the Fourth Proportional to 635.13, 876.41 and 355.35

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Solution

The fourth proportional to 635.13, 876.41 and 355.35 is: 490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.13 : 876.41 = 355.35 : x
  2. Step 2: Convert to fraction form
    635.13/876.41 = 355.35/x
  3. Step 3: Cross multiply
    635.13x = 876.41 × 355.35
  4. Step 4: Simplify right side
    635.13x = 311,428.80
  5. Step 5: Solve for x
    x = 311,428.80/635.13
  6. Step 6: Final answer
    x = 490.34

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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.