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Finding the Fourth Proportional to 635.47, 876.89 and 355.75

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Solution

The fourth proportional to 635.47, 876.89 and 355.75 is: 490.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.47 : 876.89 = 355.75 : x
  2. Step 2: Convert to fraction form
    635.47/876.89 = 355.75/x
  3. Step 3: Cross multiply
    635.47x = 876.89 × 355.75
  4. Step 4: Simplify right side
    635.47x = 311,952.31
  5. Step 5: Solve for x
    x = 311,952.31/635.47
  6. Step 6: Final answer
    x = 490.90

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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.