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Finding the Fourth Proportional to 634.63, 880.28 and 617.78

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Solution

The fourth proportional to 634.63, 880.28 and 617.78 is: 856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.63 : 880.28 = 617.78 : x
  2. Step 2: Convert to fraction form
    634.63/880.28 = 617.78/x
  3. Step 3: Cross multiply
    634.63x = 880.28 × 617.78
  4. Step 4: Simplify right side
    634.63x = 543,816.29
  5. Step 5: Solve for x
    x = 543,816.29/634.63
  6. Step 6: Final answer
    x = 856.90

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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.