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Finding the Fourth Proportional to 634.42, 878.89 and 619.30

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Solution

The fourth proportional to 634.42, 878.89 and 619.30 is: 857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.42 : 878.89 = 619.30 : x
  2. Step 2: Convert to fraction form
    634.42/878.89 = 619.30/x
  3. Step 3: Cross multiply
    634.42x = 878.89 × 619.30
  4. Step 4: Simplify right side
    634.42x = 544,296.58
  5. Step 5: Solve for x
    x = 544,296.58/634.42
  6. Step 6: Final answer
    x = 857.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.