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Finding the Fourth Proportional to 634.88, 876.17 and 355.13

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Solution

The fourth proportional to 634.88, 876.17 and 355.13 is: 490.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.88 : 876.17 = 355.13 : x
  2. Step 2: Convert to fraction form
    634.88/876.17 = 355.13/x
  3. Step 3: Cross multiply
    634.88x = 876.17 × 355.13
  4. Step 4: Simplify right side
    634.88x = 311,148.10
  5. Step 5: Solve for x
    x = 311,148.10/634.88
  6. Step 6: Final answer
    x = 490.09

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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.