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Finding the Fourth Proportional to 634.86, 876.09 and 355.09

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Solution

The fourth proportional to 634.86, 876.09 and 355.09 is: 490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.86 : 876.09 = 355.09 : x
  2. Step 2: Convert to fraction form
    634.86/876.09 = 355.09/x
  3. Step 3: Cross multiply
    634.86x = 876.09 × 355.09
  4. Step 4: Simplify right side
    634.86x = 311,089.02
  5. Step 5: Solve for x
    x = 311,089.02/634.86
  6. Step 6: Final answer
    x = 490.02

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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.