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Finding the Fourth Proportional to 634.28, 874.50 and 584.84

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Solution

The fourth proportional to 634.28, 874.50 and 584.84 is: 806.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.28 : 874.50 = 584.84 : x
  2. Step 2: Convert to fraction form
    634.28/874.50 = 584.84/x
  3. Step 3: Cross multiply
    634.28x = 874.50 × 584.84
  4. Step 4: Simplify right side
    634.28x = 511,442.58
  5. Step 5: Solve for x
    x = 511,442.58/634.28
  6. Step 6: Final answer
    x = 806.34

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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.